Hager, Anthony W.; Wynne, Brian Hereditarily projectable Archimedean lattice-ordered groups with unit. (English) Zbl 1540.54011 Quaest. Math. 47, Suppl., S179-S193 (2024). Reviewer: Bikram Banerjee (Kolkata) MSC: 54C40 06F20 08C05 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Marra, Vincenzo; Menni, Matías Separable MV-algebras and lattice-ordered groups. (English) Zbl 07818592 J. Algebra 646, 66-99 (2024). MSC: 06D35 06F20 18B50 12F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ploščica, Miroslav; Wehrung, Friedrich A solution to the MV-spectrum problem in size aleph one. (English) Zbl 07783375 J. Algebra 640, 253-273 (2024). MSC: 06D05 06D20 06D35 06F20 52A05 52B12 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cappelletti, Andrea Categorical-algebraic properties of lattice-ordered groups. (English) Zbl 07823992 Theory Appl. Categ. 39, 916-948 (2023). MSC: 06F15 18E13 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Wynne, Brian New axioms for the lattice-ordered groups existentially closed in \(\mathbf{W}^+\). (English) Zbl 07797404 Fundam. Math. 263, No. 1, 91-104 (2023). MSC: 03C60 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Ploščica, Miroslav; Wehrung, Friedrich Spectral subspaces of spectra of abelian lattice-ordered groups in size aleph one. (English) Zbl 07794398 Acta Sci. Math. 89, No. 3-4, 339-356 (2023). MSC: 06D05 06D20 06D35 06D50 06F20 46A55 52A05 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Mundici, Daniele Yosida frames in free abelian \(\ell \)-groups. (English) Zbl 07739998 J. Algebra 635, 689-697 (2023). Reviewer: Aiping Gan (Nanchang) MSC: 06D35 06F20 06D22 × Cite Format Result Cite Review PDF Full Text: DOI
Carrera, Ricardo E.; Hager, Anthony W. Some modifications of hull operators in Archimedean lattice-ordered groups with weak unit. (English) Zbl 07664066 Appl. Categ. Struct. 31, No. 2, Paper No. 12, 17 p. (2023). MSC: 06F20 06D99 06B25 06F05 06B23 20M99 54C30 54E05 08A35 08A40 × Cite Format Result Cite Review PDF Full Text: DOI
Metcalfe, George; Reggio, Luca Model completions for universal classes of algebras: necessary and sufficient conditions. (English) Zbl 1516.03011 J. Symb. Log. 88, No. 1, 381-417 (2023). Reviewer: Rosario Mennuni (Pisa) MSC: 03C10 03C05 03C40 03C64 03B47 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Campercholi, Miguel; Castaño, Diego Nicolás; Díaz Varela, José Patricio; Gispert, Joan Algebraic expansions of logics. (English) Zbl 1542.03075 J. Symb. Log. 88, No. 1, 74-92 (2023). MSC: 03G25 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Scowcroft, Philip Adjunction of a strong unit to a hyper-Archimedean lattice-ordered group. (English) Zbl 07653686 Algebra Univers. 84, No. 1, Paper No. 8, 36 p. (2023). MSC: 06F20 03C80 × Cite Format Result Cite Review PDF Full Text: DOI
Scowcroft, Philip \(C(\beta\mathbb{N}\setminus\mathbb{N})\) among the Archimedean \(\ell\)-groups with strong unit. (English) Zbl 07688091 Diss. Math. 582, 1-59 (2022). MSC: 03C60 03C25 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Pourgholamhossein, M.; Ranjbar, M. A. Positive filters and links in an \(\ell\)-group. (English) Zbl 07600460 Quaest. Math. 45, No. 8, 1297-1308 (2022). MSC: 06-XX 06F20 46Axx 54H11 46A40 47H07 46B40 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Wynne, Brian Minimum proper extensions in some lattices of subalgebras. (English) Zbl 07556319 Algebra Univers. 83, No. 3, Paper No. 30, 21 p. (2022). MSC: 06F20 08A30 20E15 × Cite Format Result Cite Review PDF Full Text: DOI
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano Expanding lattice ordered abelian groups to Riesz spaces. (English) Zbl 1521.06005 Math. Slovaca 72, No. 1, 1-10 (2022). MSC: 06D35 06F20 06F25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ploščica, Miroslav Cevian properties in ideal lattices of abelian \(\ell\)-groups. (English) Zbl 1508.06012 Forum Math. 33, No. 6, 1651-1658 (2021). MSC: 06F20 06D05 06B10 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Scowcroft, Philip Adjoining a strong unit to an Archimedean lattice-ordered group. (English) Zbl 1515.06027 Order 38, No. 3, 455-472 (2021). MSC: 06F20 03E17 54C40 54D45 54H10 × Cite Format Result Cite Review PDF Full Text: DOI
Wehrung, Friedrich From noncommutative diagrams to anti-elementary classes. (English) Zbl 1474.18004 J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021). Reviewer: Michel Hébert (Al-Qāhira) MSC: 18A30 03C52 03C75 18A35 03E05 06A07 06A12 06C20 06D22 06D35 06F20 08C05 08A30 16E20 16E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eriksson, Sirkka-Liisa; Jokela, Jani; Paunonen, Lassi Generalized absolute values, ideals and homomorphisms in mixed lattice groups. (English) Zbl 1528.06025 Positivity 25, No. 3, 939-972 (2021). MSC: 06F20 06F05 31D05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kroupa, Tomáš; Marra, Vincenzo The two-sorted algebraic theory of states, and the universal states of MV-algebras. (English) Zbl 1491.06028 J. Pure Appl. Algebra 225, No. 12, Article ID 106771, 21 p. (2021). MSC: 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wynne, Brian Construction of existentially closed abelian lattice-ordered groups using Fraïssé limits. (English) Zbl 1498.03087 Algebra Univers. 82, No. 1, Paper No. 18, 23 p. (2021). MSC: 03C60 03C25 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Mundici, Daniele Computing on lattice-ordered abelian groups. (English) Zbl 1535.06022 Blass, Andreas (ed.) et al., Fields of logic and computation III. Essays dedicated to Yuri Gurevich on the occasion of his 80th birthday. Cham: Springer. Lect. Notes Comput. Sci. 12180, 210-225 (2020). MSC: 06F20 20F10 46L05 06D35 × Cite Format Result Cite Review PDF Full Text: DOI
De La Pava, Luz Victoria; Russo, Ciro MV-algebras as sheaves of \(\ell\)-groups on fuzzy topological spaces. (English) Zbl 1490.06008 Soft Comput. 24, No. 12, 8793-8804 (2020). MSC: 06D35 06F20 54A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abbadini, Marco Dedekind \(\sigma \)-complete \(\ell \)-groups and Riesz spaces as varieties. (English) Zbl 1484.06059 Positivity 24, No. 4, 1081-1100 (2020). MSC: 06F20 03C05 08A65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lenzi, Giacomo; Di Nola, Antonio The spectrum problem for abelian \(\ell\)-groups and MV-algebras. (English) Zbl 1460.06002 Algebra Univers. 81, No. 3, Paper No. 39, 43 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 06D20 06D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hager, Anthony W.; Scowcroft, Philip Essential adjunction of a strong unit to an Archimedean lattice-ordered group. (English) Zbl 1481.06041 Algebra Univers. 81, No. 3, Paper No. 37, 17 p. (2020). MSC: 06F20 03E17 46A40 54C40 54D45 54G05 54H10 × Cite Format Result Cite Review PDF Full Text: DOI
Wehrung, Friedrich Cevian operations on distributive lattices. (English) Zbl 1442.06004 J. Pure Appl. Algebra 224, No. 4, Article ID 106202, 23 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D05 06D35 06F20 03E02 03E05 18C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lenzi, Giacomo On the Riesz structures of a lattice ordered abelian group. (English) Zbl 1483.06023 Math. Slovaca 69, No. 6, 1237-1245 (2019). MSC: 06F20 06D35 × Cite Format Result Cite Review PDF Full Text: DOI
Coquand, Thierry; Lombardi, Henri; Neuwirth, Stefan Lattice-ordered groups generated by an ordered group and regular systems of ideals. (English) Zbl 1496.06018 Rocky Mt. J. Math. 49, No. 5, 1449-1489 (2019). MSC: 06F20 06F05 13A15 13B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ball, R. N.; Hager, A. W. The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale. (English) Zbl 1473.06005 Positivity 23, No. 1, 89-95 (2019). MSC: 06D22 06F20 18A40 46A40 46E05 54A20 54B35 54C30 × Cite Format Result Cite Review PDF Full Text: DOI
Scowcroft, Philip Model-completions for abelian lattice-ordered groups with finitely many disjoint elements. (English) Zbl 1532.03056 Ann. Pure Appl. Logic 170, No. 6, 673-698 (2019); corrigendum ibid. 170, No. 11, Article ID 102720, 1 p. (2019). MSC: 03C60 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Di Nola, Antonio; Lenzi, Giacomo; Russo, Anna Carla Some invariant skeletons for \(\ell\)-u groups and MV-algebras. (English) Zbl 1441.06010 Order 36, No. 1, 77-97 (2019). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F15 × Cite Format Result Cite Review PDF Full Text: DOI
Wehrung, Friedrich Spectral spaces of countable abelian lattice-ordered groups. (English) Zbl 1472.06024 Trans. Am. Math. Soc. 371, No. 3, 2133-2158 (2019). MSC: 06F20 06D05 06D20 06D35 06D50 46A55 52A05 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhattacharjee, Papiya; McGovern, Warren W. Lamron \(\ell\)-groups. (English) Zbl 1436.06043 Quaest. Math. 41, No. 1, 81-98 (2018). MSC: 06F15 06F20 54D80 × Cite Format Result Cite Review PDF Full Text: DOI
Bhattacharjee, Papiya; McGovern, Warren Wm. Maximal \(d\)-subgroups and ultrafilters. (English) Zbl 1528.06023 Rend. Circ. Mat. Palermo (2) 67, No. 3, 421-440 (2018). MSC: 06F15 06F20 54D80 54G05 × Cite Format Result Cite Review PDF Full Text: DOI
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano Algebraic geometry for \(\ell \)-groups. (English) Zbl 1472.06023 Algebra Univers. 79, No. 3, Paper No. 64, 24 p. (2018). MSC: 06F20 03G25 08C05 14A99 × Cite Format Result Cite Review PDF Full Text: DOI
Wynne, Brian Construction of existentially closed abelian lattice-ordered groups using upper extensions. (English) Zbl 1403.03057 Algebra Univers. 79, No. 3, Paper No. 51, 27 p. (2018). Reviewer: Daniele Mundici (Firenze) MSC: 03C60 06F20 20F60 × Cite Format Result Cite Review PDF Full Text: DOI
Buskes, Gerard; Redfield, R. H. Frolík decompositions for lattice-ordered groups. (English) Zbl 1436.06044 Quaest. Math. 41, No. 3, 371-407 (2018). MSC: 06F15 46A40 06F20 06E30 54C05 47B60 × Cite Format Result Cite Review PDF Full Text: DOI
Scowcroft, Philip \(l\)-groups \(C(X)\) in continuous logic. (English) Zbl 1446.03072 Arch. Math. Logic 57, No. 3-4, 239-272 (2018). MSC: 03C60 06F20 03C45 03C90 03C10 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Marra, Vincenzo; McNeill, Daniel; Pedrini, Andrea From Freudenthal’s spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra. (English) Zbl 1528.06024 Forum Math. 30, No. 2, 513-526 (2018). MSC: 06F20 06F15 54D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kroupa, Tomáš; Marra, Vincenzo Generalised states: a multi-sorted algebraic approach to probability. (English) Zbl 1397.06012 Soft Comput. 21, No. 1, 57-67 (2017). MSC: 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kala, Vítězslav Lattice-ordered abelian groups finitely generated as semirings. (English) Zbl 1373.06022 J. Commut. Algebra 9, No. 3, 387-412 (2017). MSC: 06F20 16Y60 12K10 06D35 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Caramello, O.; Russo, A. C. On the geometric theory of local MV-algebras. (English) Zbl 1423.06045 J. Algebra 479, 263-313 (2017). MSC: 06D35 03G30 06B20 06F20 18B25 18C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hager, Anthony W.; Madden, James J. Comments on monoreflections in unital Archimedean lattice-ordered groups and rings. (English) Zbl 1436.06047 Quaest. Math. 39, No. 8, 1093-1099 (2016). MSC: 06F20 18A40 46A40 54F15 18A20 × Cite Format Result Cite Review PDF Full Text: DOI
Caramello, Olivia; Russo, Anna Carla Lattice-ordered abelian groups and perfect MV-algebras: a topos-theoretic perspective. (English) Zbl 1390.06012 Bull. Symb. Log. 22, No. 2, 170-214 (2016). MSC: 06F20 06D35 03G30 18B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tikuisis, Aaron Finite-dimensional ordered vector spaces with Riesz interpolation and Effros-Shen’s unimodularity conjecture. (English) Zbl 1380.46003 J. Aust. Math. Soc. 101, No. 2, 277-287 (2016). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 46A40 06B75 06F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mundici, Daniele Hopfian \(\ell\)-groups, MV-algebras and AF \({\mathrm{C}^{*}}\)-algebras. (English) Zbl 1429.06013 Forum Math. 28, No. 6, 1111-1130 (2016). MSC: 06D35 06F20 08A35 16T05 19A49 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hager, Anthony W.; Madden, James J. The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit. (English) Zbl 1403.06027 Appl. Categ. Struct. 24, No. 5, 605-617 (2016). MSC: 06F20 18A40 46A40 54F15 × Cite Format Result Cite Review PDF Full Text: DOI
Di Nola, A.; Ferraioli, A. R.; Gerla, B. Combining Boolean algebras and \(\ell \)-groups in the variety generated by Chang’s MV-algebra. (English) Zbl 1374.06020 Math. Slovaca 66, No. 2, 387-400 (2016). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Ánh, Phạm Ngọc Generalization of a theorem of Clifford. (English) Zbl 1368.06008 Acta Math. Vietnam. 41, No. 3, 471-480 (2016). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 06F05 06F20 13A05 13F05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Scowcroft, Philip Algebraically closed and existentially closed abelian lattice-ordered groups. (English) Zbl 1351.03023 Algebra Univers. 75, No. 3, 257-300 (2016). MSC: 03C60 06F20 03C25 × Cite Format Result Cite Review PDF Full Text: DOI
Galatos, Nikolaos; Metcalfe, George Proof theory for lattice-ordered groups. (English) Zbl 1348.06011 Ann. Pure Appl. Logic 167, No. 8, 707-724 (2016). Reviewer: Michiro Kondo (Inzai) MSC: 06F15 06F20 03F05 08A50 08B05 × Cite Format Result Cite Review PDF Full Text: DOI
Castiglioni, José Luis; San Martín, Hernán Javier The left adjoint of Spec from a category of lattice-ordered groups. (English) Zbl 1436.06046 J. Appl. Log. 15, 1-15 (2016). MSC: 06F20 06D35 × Cite Format Result Cite Review PDF Full Text: DOI
Carrera, Ricardo E.; Hager, Anthony W. Bounded equivalence of hull classes in Archimedean lattice-ordered groups with unit. (English) Zbl 1342.06013 Appl. Categ. Struct. 24, No. 2, 163-179 (2016). Reviewer: Wolfgang Rump (Stuttgart) MSC: 06F20 06B23 54B30 × Cite Format Result Cite Review PDF Full Text: DOI
Marra, Vincenzo The Chinese remainder theorem for strongly semisimple MV-algebras and lattice-groups. (English) Zbl 1363.06028 Math. Slovaca 65, No. 4, 829-840 (2015). Reviewer: YiChaun Yang (Beijing) MSC: 06F20 06D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carrera, Ricardo E.; Hager, Anthony W. \(B\)-saturated hull classes in \(\ell\)-groups and covering classes of spaces. (English) Zbl 1343.06013 Appl. Categ. Struct. 23, No. 5, 709-723 (2015). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 54B30 18G05 54G05 × Cite Format Result Cite Review PDF Full Text: DOI
Cabrer, Leonardo Manuel; Mundici, Daniele A Stone-Weierstrass theorem for MV-algebras and unital \(\ell\)-groups. (English) Zbl 1323.06011 J. Log. Comput. 25, No. 3, 683-699 (2015). Reviewer: Giacomo Lenzi (Fisciano) MSC: 06D35 06B25 06F20 03G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ball, Richard N.; Hager, Anthony W.; Walters-Wayland, Joanne Pointfree pointwise suprema in unital Archimedean \(\ell\)-groups. (English) Zbl 1344.06010 J. Pure Appl. Algebra 219, No. 11, 4793-4815 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06D22 06F20 54C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hager, Anthony W. The relatively uniform completion, epimorphisms and units, in divisible Archimedean \(l\)-groups. (English) Zbl 1349.06048 Math. Slovaca 65, No. 2, 343-358 (2015). MSC: 06F20 18A40 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Cabrer, Leonardo Manuel Simplicial geometry of unital lattice-ordered abelian groups. (English) Zbl 1330.06013 Forum Math. 27, No. 3, 1309-1344 (2015). Reviewer: Giacomo Lenzi (Fisciano) MSC: 06F20 52B20 18B30 05E45 52B11 18A35 55U05 55U10 57Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hager, Anthony W. Some unusual epicomplete Archimedean lattice-ordered groups. (English) Zbl 1315.06020 Proc. Am. Math. Soc. 143, No. 5, 1969-1980 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 03E50 06B15 08A99 18A20 46A40 54C30 54C40 54G05 × Cite Format Result Cite Review PDF Full Text: DOI
Cabrer, Leonardo Manuel; Mundici, Daniele Severi-Bouligand tangents, Frenet frames and Riesz spaces. (English) Zbl 1322.46005 Adv. Appl. Math. 64, 1-20 (2015). Reviewer: Karim Boulabiar (Tunis) MSC: 46A40 06F20 46E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caramello, O.; Russo, A. C. The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit. (English) Zbl 1320.06011 J. Algebra 422, 752-787 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 18B25 18C10 18F20 06F20 03G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Young, William Varieties generated by unital abelian \(\ell\)-groups. (English) Zbl 1300.06003 J. Pure Appl. Algebra 219, No. 1, 161-169 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 06D35 08B15 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N. Truncated abelian lattice-ordered groups. II: The pointfree (Madden) representation. (English) Zbl 1301.06040 Topology Appl. 178, 56-86 (2014). MSC: 06F20 06D22 54B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gehrke, Mai; van Gool, Samuel J.; Marra, Vincenzo Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality. (English) Zbl 1300.06001 J. Algebra 417, 290-332 (2014). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 06D50 18F20 54B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boulabiar, Karim; Brahmi, Wael Orthoproducts and \(f\)-representations of archimedean \(\ell\)-groups. (English) Zbl 1309.06009 Algebra Univers. 72, No. 1, 81-89 (2014). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F20 06F15 × Cite Format Result Cite Review PDF Full Text: DOI
Rump, Wolfgang Abelian lattice-ordered groups and a characterization of the maximal spectrum of a Prüfer domain. (English) Zbl 1338.06016 J. Pure Appl. Algebra 218, No. 12, 2204-2217 (2014). MSC: 06F20 13F05 13G05 54B35 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Kimber, Chawne M. Hyperarchimedean coproducts. (English) Zbl 1309.06011 Algebra Univers. 71, No. 4, 375-384 (2014). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 06F20 18A30 18B30 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Marra, Vincenzo Unital hyperarchimedean vector lattices. (English) Zbl 1301.06041 Topology Appl. 170, 10-24 (2014). MSC: 06F20 06E15 46E25 54C30 54C40 54H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Young, William Projective objects in the categories of abelian \(\ell\)-groups and MV-algebras. (English) Zbl 1310.06013 Algebra Univers. 71, No. 2, 191-200 (2014). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 06D35 08B20 × Cite Format Result Cite Review PDF Full Text: DOI
Palmatier, Joshua B. Extending Chang’s construction to the category of m-zeroids and some category containing the category of abelian \(\ell\)-groups with strong unit. (English) Zbl 1310.06007 New York J. Math. 20, 81-92 (2014). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 03G20 × Cite Format Result Cite Review PDF Full Text: EMIS
Fechner, Włodzimierz Factorization theorems of Arendt type for additive monotone mappings. (English) Zbl 1323.06014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 97, 138-144 (2014). MSC: 06F20 46A40 46B42 47B60 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N. Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation. (English) Zbl 1301.06039 Topology Appl. 162, 43-65 (2014). MSC: 06F20 54B30 54C30 54H10 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W. \(*\)-maximum lattice-ordered groups. (English) Zbl 1309.06010 Rocky Mt. J. Math. 43, No. 6, 1901-1930 (2013). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 06F20 03B50 18A40 54C30 46A40 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Panti, Giovanni; Ravotti, Davide Measures induced by units. (English) Zbl 1323.03097 J. Symb. Log. 78, No. 3, 886-910 (2013). MSC: 03G25 06D35 06F20 11K06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ball, Richard N.; Hager, Anthony W. Frame monomorphisms and a feature of the \(l\)-group of Baire functions on a topological space. (English) Zbl 1289.06016 Commentat. Math. Univ. Carol. 54, No. 2, 141-157 (2013). Reviewer: Themba Dube (Unisa) MSC: 06D22 06F20 18A20 26A21 28A05 × Cite Format Result Cite Review PDF Full Text: EMIS
Marra, Vincenzo Lattice-ordered abelian groups and Schauder bases of unimodular fans. II. (English) Zbl 1280.06013 Trans. Am. Math. Soc. 365, No. 5, 2545-2568 (2013). MSC: 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Schwartz, Niels Sheaves of abelian \(l\)-groups. (English) Zbl 1293.13002 Order 30, No. 2, 497-526 (2013). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 13A18 06F20 13A05 × Cite Format Result Cite Review PDF Full Text: DOI
Banaschewski, B.; Hager, A. W. Epimorphisms and maximal covers in categories of compact spaces. (English) Zbl 1284.18007 Appl. Gen. Topol. 14, No. 1, 41-52 (2013). Reviewer: Jorge Picado (Coimbra) MSC: 18B30 06F20 18G05 54B30 18A20 54C10 54G05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Černák, Štefan; Jakubík, Ján Weak relatively uniform convergences on MV-algebras. (English) Zbl 1313.06014 Math. Slovaca 63, No. 1, 13-32 (2013). Reviewer: Judita Lihová (Košice) MSC: 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kochetova, Yu. V. Cartesian sum solvability of \(\mathcal K\)-ordered algebras. (Russian) Zbl 1284.06044 Chebyshevskiĭ Sb. 13, No. 1(41), 92-101 (2012). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 × Cite Format Result Cite Review PDF Full Text: MNR
Carrera, Ricardo E. Various disconnectivities of spaces and projectabilities of \(\ell\)-groups. (English) Zbl 1275.06003 Algebra Univers. 68, No. 1-2, 91-109 (2012). Reviewer: William A. Feldman (Fayetteville) MSC: 06F20 54G05 54C35 54D80 18B30 × Cite Format Result Cite Review PDF Full Text: DOI
Jakubík, Ján; Černák, Štefan Cantor extension of an abelian lattice ordered group equipped with a weak relatively uniform convergence. (English) Zbl 1305.06016 Math. Slovaca 62, No. 5, 841-854 (2012). Reviewer: Judita Lihová (Košice) MSC: 06F20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Cabrer, Leonardo; Mundici, Daniele Rational polyhedra and projective lattice-ordered abelian groups with order unit. (English) Zbl 1275.06002 Commun. Contemp. Math. 14, No. 3, 1250017, 20 p. (2012). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 06D35 08B30 52B11 52B20 54D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Busaniche, Manuela; Cabrer, Leonardo; Mundici, Daniele Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups. (English) Zbl 1277.06007 Forum Math. 24, No. 2, 253-271 (2012). Reviewer: Belmesnaoui Aqzzouz (Salajadida) MSC: 06F20 52B11 52B20 57Q15 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Holland, W. C.; Kopperman, R.; Pajoohesh, H. Intrinsic generalized metrics. (English) Zbl 1253.06022 Algebra Univers. 67, No. 1, 1-18 (2012). MSC: 06F15 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Cignoli, Roberto Boolean skeletons of MV-algebras and \(\ell \)-groups. (English) Zbl 1258.06007 Stud. Log. 98, No. 1-2, 141-147 (2011). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F15 × Cite Format Result Cite Review PDF Full Text: DOI
Cabrer, Leonardo; Mundici, Daniele Finitely presented lattice-ordered abelian groups with order-unit. (English) Zbl 1261.06022 J. Algebra 343, No. 1, 1-10 (2011). Reviewer: Yichuan Yang (Beijing) MSC: 06F20 08B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Černák, Štefan; Jakubík, Ján Weak relatively uniform convergences on abelian lattice ordered groups. (English) Zbl 1274.06061 Math. Slovaca 61, No. 5, 687-704 (2011). MSC: 06F20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hager, Anthony W.; Johnson, Donald G. Relative uniform completeness and order-convex representations of Archimedean \(\ell \)-groups and \(f\)-rings. (English) Zbl 1233.06012 Topology Appl. 158, No. 14, 1866-1874 (2011). MSC: 06F15 06F20 06F25 54C30 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Kopperman, Ralph; Pajoohesh, Homeira; Richmond, Tom Topologies arising from metrics valued in abelian \(\ell\)-groups. (English) Zbl 1250.06014 Algebra Univers. 65, No. 4, 315-330 (2011). Reviewer: William A. Feldman (Fayetteville) MSC: 06F20 54F05 54H12 × Cite Format Result Cite Review PDF Full Text: DOI
Kühr, Jan; Mundici, Daniele From free abelian groups to free abelian \(\ell \)-groups. (English) Zbl 1265.06055 Math. Slovaca 61, No. 3, 439-450 (2011). Reviewer: Ivan Chajda (Olomouc) MSC: 06F20 20K99 52B20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Martínez, Jorge New torsion theory in unital abelian \(\ell \)-groups. (English) Zbl 1265.06056 Math. Slovaca 61, No. 3, 451-468 (2011). MSC: 06F20 06F15 18A40 18B99 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Jakubík, Ján; Černák, Štefan Relatively uniform convergences in Archimedean lattice ordered groups. (English) Zbl 1240.06066 Math. Slovaca 60, No. 4, 447-460 (2010). Reviewer: Judita Lihová (Košice) MSC: 06F20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Montagna, Franco; Tsinakis, Constantine Ordered groups with a conucleus. (English) Zbl 1185.06012 J. Pure Appl. Algebra 214, No. 1, 71-88 (2010). Reviewer: Yichuan Yang (Beijing) MSC: 06F05 06D35 06F15 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Fuchs, László Note on the construction of free MV-algebras. (English) Zbl 1196.06006 Algebra Univers. 62, No. 1, 45-49 (2009). Reviewer: Claudia Mureşan (Rîmnicu Vîlcea) MSC: 06D35 06F15 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Holland, W. Charles Continuum many top varieties of GMV-algebras and unital \(\ell \)-groups. (English) Zbl 1194.06008 Algebra Univers. 62, No. 1, 27-43 (2009). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Dvurečenskij, Anatolij; Holland, W. Charles Free products of unital \(\ell \)-groups and free products of generalized MV-algebras. (English) Zbl 1194.06007 Algebra Univers. 62, No. 1, 19-25 (2009). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Marra, Vincenzo The Lebesgue state of a unital abelian lattice-ordered group. II. (English) Zbl 1190.06014 J. Group Theory 12, No. 6, 911-922 (2009). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 06F20 28A25 28C10 × Cite Format Result Cite Review PDF Full Text: DOI