Paudel, Lokendra Finite intersection of valuation overrings of polynomial rings in at most three variables. (English) Zbl 07870927 Algebra Discrete Math. 37, No. 1, 106-133 (2024). Reviewer: Gerard Leloup (Le Mans) MSC: 13F05 13F30 20F60 13B22 × Cite Format Result Cite Review PDF Full Text: DOI
Paudel, Lokendra Realizations of semilocal \(\ell\)-groups over \(k[x_1,x_2,\dots, x_n]\). (English) Zbl 1540.13045 Commun. Algebra 51, No. 9, 3768-3781 (2023). MSC: 13F05 13B22 13F30 14A15 20E22 20F60 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing Characterizing division closed lattice-ordered rings. (English) Zbl 07618063 Quaest. Math. 45, No. 9, 1343-1351 (2022). MSC: 06F25 × 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
Rao, B. V. Subba; Kanakam, Akella; Yedlapalli, Phani Representable autometrized semialgebra. (English) Zbl 1539.06035 Thai J. Math. 19, No. 4, 1267-1272 (2021). MSC: 06F05 06F25 × Cite Format Result Cite Review PDF Full Text: Link
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
Shavgulidze, N. E. Some properties of lattice ordered rings. (English. Russian original) Zbl 1534.06014 Math. Notes 110, No. 2, 297-300 (2021); translation from Mat. Zametki 110, No. 2, 313-316 (2021). MSC: 06F25 06F15 × Cite Format Result Cite Review PDF Full Text: DOI
Boulabiar, Karim; Mahfoudhi, Mounir Unitization of a lattice ordered ring with a truncation. (English) Zbl 1484.06062 Quaest. Math. 43, No. 7, 841-856 (2020). MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Estaji, Ali Akbar; Mahmoudi Darghadam, Ahmad Free ideals and real ideals of the ring of frame maps from \(\mathcal{P}(\mathbb{R})\) to a frame. (English) Zbl 1463.06088 Algebr. Struct. Appl. 7, No. 2, 93-113 (2020). MSC: 06F25 06D22 16D25 54C30 × Cite Format Result Cite Review PDF
Zabeti, Omid Lattice structure on bounded homomorphisms between topological lattice rings. (English) Zbl 1463.13049 Vladikavkaz. Mat. Zh. 21, No. 3, 14-23 (2019). MSC: 13J25 06F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
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
Arega, N.; Van Den Berg, J. Commutativity in the lattice of topologizing filters of a ring – localization and congruences. (English) Zbl 1438.13035 Acta Math. Hung. 157, No. 2, 434-458 (2019). MSC: 13J25 06F05 13F05 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmood, Tahir; Rehman, Zia Ur; Sezgin, Aslıhan Lattice ordered soft near rings. (English) Zbl 1478.06009 Korean J. Math. 26, No. 3, 503-517 (2018). MSC: 06F99 06F25 16Y30 16Y80 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yichuan; Zhang, Xiaohong Note on classification of two-dimensional associative lattice-ordered real algebras. (English) Zbl 1386.06025 Soft Comput. 21, No. 10, 2549-2552 (2017). MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Morton, Wilmari; van Alten, Clint J. The canonical FEP construction. (English) Zbl 1444.06012 J. Log. Comput. 27, No. 3, 609-637 (2017). MSC: 06F25 03G25 08A55 × Cite Format Result Cite Review PDF Full Text: DOI
Arega, Nega; van den Berg, John Two-sided residuation in the set of topologizing filters on a ring. (English) Zbl 1386.16024 Commun. Algebra 45, No. 3, 992-1011 (2017). MSC: 16W80 16S90 06F05 13F30 16P40 × Cite Format Result Cite Review PDF Full Text: DOI
Ánh, P. N.; Siddoway, M. F. Gauss’ lemma and valuation theory. (English) Zbl 1423.13014 Quaest. Math. 39, No. 5, 603-609 (2016). MSC: 13A05 13D05 13F05 06F05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Krňávek, Jan; Kühr, Jan On non-associative generalizations of MV-algebras and lattice-ordered commutative loops. (English) Zbl 1374.06024 Fuzzy Sets Syst. 289, 122-136 (2016). MSC: 06D35 20N05 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Chermnykh, O. V. On drl-semigroups and drl-semirings. (Russian. English summary) Zbl 1373.06018 Chebyshevskiĭ Sb. 17, No. 4(60), 167-179 (2016). MSC: 06F05 06F25 × Cite Format Result Cite Review PDF Full Text: MNR
Zhang, Mengqing; Li, Yongming The solutions of lattice-valued fuzzy algebraic system. (Chinese. English summary) Zbl 1374.06042 Fuzzy Syst. Math. 30, No. 3, 19-25 (2016). MSC: 06F05 06F25 13F25 × Cite Format Result Cite Review PDF
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
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
Guier, Jorge I. Convex lattice-ordered subrings of von Neumann regular \(f\)-rings. (English) Zbl 1349.13055 Rev. Colomb. Mat. 49, No. 1, 161-170 (2015). MSC: 13J25 06E20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ma, Jingjing Matrix \(\ell\)-algebras over \(\ell\)-fields. (English) Zbl 1342.06014 Cogent Math. 2, No. 1, Article ID 1053660, 7 p. (2015). MSC: 06F25 16S50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Boulabiar, Karim; Smiti, Samir When is \(C(X)\) polynomially ideal? (English) Zbl 1352.13002 J. Commut. Algebra 7, No. 4, 473-493 (2015). Reviewer: Tim Netzer (Leipzig) MSC: 13A15 46E25 06F25 16W80 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ledda, Antonio; Paoli, Francesco; Tsinakis, Constantine Semi-linear varieties of lattice-ordered algebras. (English) Zbl 1327.06016 Montagna, Franco (ed.), Petr Hájek on mathematical fuzzy logic. Cham: Springer (ISBN 978-3-319-06232-7/hbk; 978-3-319-06233-4/ebook). Outstanding Contributions to Logic 6, 207-221 (2015). MSC: 06F25 08B10 08B05 03C05 03G10 03G25 × Cite Format Result Cite Review PDF Full Text: DOI
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
Yılmaz, Ruṣen Notes on lattice ordered algebras. (English) Zbl 1488.46008 Serdica Math. J. 40, No. 3-4, 319-328 (2014). Reviewer: Vesselin Drensky (Sofia) MSC: 46A40 46B42 06F25 13J25 × Cite Format Result Cite Review PDF Full Text: Link
Kochetova, Yu. V.; Shirshova, E. E. Prime radicals of lattice \(\mathcal K\)-ordered algebras. (English. Russian original) Zbl 1320.06016 J. Math. Sci., New York 201, No. 4, 465-518 (2014); translation from Fundam. Prikl. Mat. 18, No. 1, 85-158 (2013). Reviewer: Jingjing Ma (Houston) MSC: 06F25 16W80 × Cite Format Result Cite Review PDF Full Text: DOI
Kouki, Naoual; Toumi, Mohamed Ali; Toumi, Nedra Commutativity of some Archimedean ordered algebras. (English) Zbl 1307.06012 Positivity 18, No. 4, 805-821 (2014). MSC: 06F25 47B65 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing; Zhang, Yuehui Positive derivations on Archimedean \(d\)-rings. (English) Zbl 1309.06013 Algebra Univers. 72, No. 2, 163-166 (2014). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F25 16W25 × Cite Format Result Cite Review PDF Full Text: DOI
Deore, Rajendra; Gujarathi, Pritam A note on Brauer commutative monoid. (English) Zbl 1303.16046 Thai J. Math. 12, No. 1, 45-54 (2014). MSC: 16Y60 16D25 06F25 × Cite Format Result Cite Review PDF Full Text: Link
Andima, S.; Pajoohesh, H. Higher derivations and commutativity in lattice-ordered rings. (English) Zbl 1303.06019 Positivity 18, No. 3, 603-617 (2014). MSC: 06F25 16W25 16W80 16N60 16U80 × Cite Format Result Cite Review PDF Full Text: DOI
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
Katsov, Yefim; Nam, Tran Giang; Zumbrägel, Jens On simpleness of semirings and complete semirings. (English) Zbl 1304.16049 J. Algebra Appl. 13, No. 6, Article ID 1450015, 29 p. (2014). Reviewer: Udo Hebisch (Freiberg) MSC: 16Y60 08A30 06D99 06B23 06F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Jingjing; Zhang, Yuehui Lattice-ordered matrix rings over totally ordered rings. (English) Zbl 1309.06012 Order 31, No. 1, 45-54 (2014). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F25 × 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
Ma, Jingjing Lecture notes on algebraic structure of lattice-ordered rings. (English) Zbl 1317.06021 Hackensack, NJ: World Scientific (ISBN 978-981-4571-42-5/hbk; 978-981-4571-44-9/ebook). x, 247 p. (2014). Reviewer: Karim Boulabiar (Tunis) MSC: 06F25 06-02 16W80 × 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
Kochetova, J. V. On \(l\)-prime radicals of lattice ordered algebras. (English. Russian original) Zbl 1287.06014 J. Math. Sci., New York 193, No. 4, 516-525 (2013); translation from Fundam. Prikl. Mat. 17(2011/12), No. 5, 55-68 (2012). MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
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
Sun, Yujiao; Yang, Yichuan Note on lattice-ordered rings with positive squares. (English) Zbl 1286.06029 Algebra Colloq. 20, No. 3, 417-420 (2013). Reviewer: Lavinia Ciungu (Brooklyn) MSC: 06F25 12E15 12J15 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing; Zhang, Yuehui Lattice-ordered matrix algebras containing positive cycles. (English) Zbl 1339.06021 Positivity 17, No. 2, 299-307 (2013). MSC: 06F25 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Fei; Bai, Xianlong; Qiu, Derong Lattice-ordered matrix algebras over real GCD-domains. (English) Zbl 1284.06047 Commun. Algebra 41, No. 6, 2109-2113 (2013). Reviewer: Jingjing Ma (Houston) MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Jingjing Recognition of lattice-ordered matrix rings. (English) Zbl 1339.06020 Order 30, No. 2, 617-623 (2013). MSC: 06F25 16S50 × 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
van Alten, C. J. Prelinear algebras in relatively regular quasivarieties. (English) Zbl 1283.06035 Order 30, No. 2, 573-583 (2013). MSC: 06F25 08C15 × Cite Format Result Cite Review PDF Full Text: DOI
Ánh, P. N.; Márki, L.; Vámos, P. Divisibility theory in commutative rings: Bezout monoids. (English) Zbl 1280.06010 Trans. Am. Math. Soc. 364, No. 8, 3967-3992 (2012). MSC: 06F05 13A05 13F05 20M14 × Cite Format Result Cite Review PDF Full Text: DOI
Toumi, Mohamed Ali Continuous generalized \((\theta,\varphi)\)-separating derivations on archimedean almost \(f\)-algebras. (English) Zbl 1314.06021 Asian-Eur. J. Math. 5, No. 3, Paper No. 1250045, 17 p. (2012). Reviewer: Karim Boulabiar (Tunis) MSC: 06F25 47B47 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing Regular unital finite-dimensional lattice-ordered algebras. (English) Zbl 1273.06009 Commun. Algebra 40, No. 5, 1680-1689 (2012). Reviewer: Bikram Banerjee (Kolkata) MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Xian; Shang, Yun; Lu, Ruqian Automata theory based on lattice-ordered semirings. (English) Zbl 1237.68116 Soft Comput. 15, No. 2, 269-280 (2011). MSC: 68Q45 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Yilmaz, Rusen On units and identities in topological lattice ordered algebras. (English) Zbl 1234.06012 Int. Math. Forum 6, No. 21-24, 1017-1021 (2011). MSC: 06F25 46A40 × Cite Format Result Cite Review PDF Full Text: Link
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
Madden, James J. Henriksen and Isbell on \(f\)-rings. (English) Zbl 1232.06022 Topology Appl. 158, No. 14, 1768-1773 (2011). Reviewer: Jingjing Ma (Houston) MSC: 06F25 06-03 08B15 08B20 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing Finite-dimensional \(\ell\)-simple lattice-ordered algebras with a \(d\)-basis. (English) Zbl 1232.06021 Algebra Univers. 65, No. 4, 341-351 (2011). Reviewer: Tim Netzer (Leipzig) MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Shavgulidze, N. E. Radicals of \(l\)-rings and special classes of \(l\)-modules. (English. Russian original) Zbl 1304.06018 Mosc. Univ. Math. Bull. 65, No. 4, 176-177 (2010); translation from Vest. Mosk. Univ. Mat. Mekh. 65, No. 4, 63-65 (2010). MSC: 06F25 16N80 16W80 × Cite Format Result Cite Review PDF Full Text: DOI
Shavgulidze, N. E. Special classes of \(l\)-rings and Anderson-Divinsky-Sulinski lemma. (English. Russian original) Zbl 1304.06017 Mosc. Univ. Math. Bull. 65, No. 2, 76-77 (2010); translation from Vest. Mosk. Univ. Mat. Mekh. 65, No. 2, 42-44 (2010). MSC: 06F25 16N80 × Cite Format Result Cite Review PDF Full Text: DOI
Meenakshi, R.; Natarajan, R. \(\ell\)-module over a ring \(R\). (English) Zbl 1231.06021 Int. J. Algebra 4, No. 17-20, 851-858 (2010). Reviewer: Jingjing Ma (Houston) MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: Link
Gan, Aiping; Jiang, Yanglan; Huang, Fusheng; Huang, Wenping Star-minimal lattice-ordered star hemirings. (Chinese. English summary) Zbl 1224.06034 Pure Appl. Math. 26, No. 3, 432-438 (2010). MSC: 06F25 16Y60 × Cite Format Result Cite Review PDF
Steinberg, Stuart A. An \(\ell\)-algebra approach to Artin’s solution of Hilbert’s seventeenth problem. (English) Zbl 1242.12008 Ann. Fac. Sci. Toulouse, Math. (6) 19, Spec. Issue, 215-220 (2010). Reviewer: Jingjing Ma (Houston) MSC: 12J15 06F25 13J25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Madden, James J. On \(f\)-rings that are not formally real. (English) Zbl 1213.06013 Ann. Fac. Sci. Toulouse, Math. (6) 19, Spec. Issue, 143-157 (2010). Reviewer: Ali Benhissi (Monastir) MSC: 06F25 13A18 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Boulabiar, Karim; Jabeur, Jamel Arens regularity of lattice-ordered rings. (English) Zbl 1210.06010 Ann. Fac. Sci. Toulouse, Math. (6) 19, Spec. Issue, 25-36 (2010). Reviewer: Jingjing Ma (Houston) MSC: 06F25 16W80 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Point, Françoise Existentially closed ordered difference fields and rings. (English) Zbl 1211.03054 Math. Log. Q. 56, No. 3, 239-256 (2010); corrigendum ibid. 61, No. 1-2, 117-119 (2015). Reviewer: Martin Hils (Paris) MSC: 03C60 06F25 12H10 12J10 12J15 13J25 × Cite Format Result Cite Review PDF Full Text: DOI
Steinberg, Stuart A. Lattice-ordered rings and modules. (English) Zbl 1205.06012 Dordrecht: Springer (ISBN 978-1-4419-1720-1/hbk; 978-1-4419-1721-8/ebook). xviii, 630 p. (2010). Reviewer: Yichuan Yang (Beijing) MSC: 06F25 06-01 06-02 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing Lattice orders on \(2 \times 2\) triangular matrix algebras. (English) Zbl 1192.06017 Algebra Univers. 62, No. 1, 51-61 (2009). MSC: 06F25 16S50 × Cite Format Result Cite Review PDF Full Text: DOI
Pöschel, R.; Radeleczki, S. Related structures with involution. (English) Zbl 1199.08002 Acta Math. Hung. 123, No. 1-2, 169-185 (2009). Reviewer: Renata Majovska (Ostrava) MSC: 08A05 06B05 08A02 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Iberkleid, Wolf; McGovern, Warren Wm. A generalization of the Jaffard-Ohm-Kaplansky theorem. (English) Zbl 1180.06018 Algebra Univers. 61, No. 2, 201-212 (2009). Reviewer: Marius Tărnăuceanu (Iaşi) MSC: 06F15 06F07 13F05 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing; March, Ellen Lattice-ordered triangular matrix algebras. (English) Zbl 1177.06024 J. Algebra 321, No. 12, 3659-3667 (2009). Reviewer: Heinz Mitsch (Wien) MSC: 06F25 15A30 × Cite Format Result Cite Review PDF Full Text: DOI
Lavrič, Boris; Jerman, Marjan Three-dimensional \(\ell \)-algebras. (English) Zbl 1173.06006 Commun. Algebra 37, No. 2, 684-711 (2009). Reviewer: Yichuan Yang (Beijing) MSC: 06F25 16W80 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing; Redfield, Robert H. Positive derivations on Archimedean lattice-ordered rings. (English) Zbl 1167.06012 Positivity 13, No. 1, 165-191 (2009). Reviewer: Igor Klep (Ljubljana) MSC: 06F25 13J25 16W25 46G05 × Cite Format Result Cite Review PDF Full Text: DOI
Sharma, Ram Prakash; Gupta, J. R.; Sharma, Tilak Raj Fuzzy subsemigroups and fuzzy ideals of semirings. (English) Zbl 1273.16055 J. Comb. Inf. Syst. Sci. 33, No. 1-2, 45-59 (2008). MSC: 16Y99 16Y60 16D25 06F25 20N25 × Cite Format Result Cite Review PDF
Kochetova, Yu. V. Prime radicals of lattice-ordered Lie algebras. (English. Russian original) Zbl 1184.06009 Russ. Math. Surv. 63, No. 5, 970-972 (2008); translation from Usp. Mat. Nauk 63, No. 5, 191-192 (2008). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F25 17B05 × Cite Format Result Cite Review PDF Full Text: DOI
Buskes, Gerard; Redfield, R. H. Square means and geometric means in lattice-ordered groups and vector lattices. (English) Zbl 1158.06010 Algebra Univers. 59, No. 1-2, 133-157 (2008). Reviewer: Yichuan Yang (Beijing) MSC: 06F20 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Rump, Wolfgang; Yang, Yi Chuan Jaffard-Ohm correspondence and Hochster duality. (English) Zbl 1151.13001 Bull. Lond. Math. Soc. 40, No. 2, 263-273 (2008). Reviewer: Daniel D. Anderson (Iowa City) MSC: 13A05 13G05 06F20 13A18 14A05 × Cite Format Result Cite Review PDF Full Text: DOI
Pajoohesh, Homeira Positive derivations on lattice ordered rings of matrices. (English) Zbl 1144.06010 Quaest. Math. 30, No. 3, 275-284 (2007). Reviewer: Heinz Mitsch (Wien) MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez, Jorge; Zenk, Eric R. Regularity in algebraic frames. (English) Zbl 1121.06010 J. Pure Appl. Algebra 211, No. 2, 566-580 (2007). MSC: 06D22 54B35 06F15 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing; Redfield, R. H. Lattice-ordered fields determined by \(d\)-elements. (English) Zbl 1130.06008 Appl. Categ. Struct. 15, No. 1-2, 19-33 (2007). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F25 18A40 15A03 × Cite Format Result Cite Review PDF Full Text: DOI
Montalvo, F.; Pulgarín, A. A.; Requejo, B. Zero-separating algebras of continuous functions. (English) Zbl 1115.06013 Topology Appl. 154, No. 10, 2135-2141 (2007). MSC: 06F25 06F30 46H05 54H12 54C30 × Cite Format Result Cite Review PDF Full Text: DOI
McGovern, Warren W. Bézout SP-domains. (English) Zbl 1113.13010 Commun. Algebra 35, No. 5, 1777-1781 (2007). MSC: 13F05 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez, Jorge Dimension in algebraic frames. (English) Zbl 1164.06311 Czech. Math. J. 56, No. 2, 437-474 (2006). MSC: 06D22 06F15 06F25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Yang, YiChuan A lattice-ordered skew field is totally ordered if squares are positive. (English) Zbl 1135.16051 Am. Math. Mon. 113, No. 3, 265-266 (2006). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16W80 06F25 12J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Songchol; Li, Hongxing Solvability of \(L\)-fuzzy relation equations in generalized one-sided residuated groupoids. (English) Zbl 1104.15012 Southeast Asian Bull. Math. 30, No. 4, 671-683 (2006). Reviewer: Václav Burjan (Praha) MSC: 15A24 15B33 08A72 × Cite Format Result Cite Review PDF
Ma, Jingjing Lattice-ordered algebras with a \(d\)-basis. (English) Zbl 1098.06012 J. Algebra 299, No. 2, 731-746 (2006). MSC: 06F25 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
McGovern, Warren Wm. Neat rings. (English) Zbl 1095.13025 J. Pure Appl. Algebra 205, No. 2, 243-265 (2006). Reviewer: Gábor Braun (Budapest) MSC: 13F99 06F20 13F05 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Kimber, Chawne M.; McGovern, Warren W. Unique \(a\)-closure for some \(\ell \)-groups of rational valued functions. (English) Zbl 1081.06020 Czech. Math. J. 55, No. 2, 409-421 (2005). MSC: 06F20 06F25 20F60 54C30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Ma, Jingjing Pure \(\ell\)-ideals in lattice-ordered rings. (English) Zbl 1076.06011 Commun. Algebra 33, No. 10, 3797-3810 (2005). MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Bradley, Walter; Ma, Jingjing Lattice-ordered 2 \(\times\) 2 triangular matrix algebras. (English) Zbl 1076.15017 Linear Algebra Appl. 404, 262-274 (2005). Reviewer: Marjeta Kramar (Ljubljana) MSC: 15A30 16S50 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Knebusch, Manfred; Zhang, Digen Convexity, valuations and Prüfer extensions in real algebra. (English) Zbl 1120.13025 Doc. Math. 10, 1-109 (2005). Reviewer: Niels Schwartz (Passau) MSC: 13J30 13A18 13F05 06F25 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Dickmann, M.; Marshall, M.; Miraglia, F. Lattice-ordered reduced special groups. (English) Zbl 1080.03017 Ann. Pure Appl. Logic 132, No. 1, 27-49 (2005). Reviewer: Serban A. Basarab (Bucureşti) MSC: 03C60 06F15 11E81 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing Finite-dimensional lattice-ordered algebras with \(d\)-elements. (English) Zbl 1078.06013 J. Algebra 280, No. 1, 232-243 (2004). Reviewer: Yichuan Yang (Stuttgart) MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Chil, Elmiloud The Dedekind completion of \(d\)-algebras. (English) Zbl 1073.46002 Positivity 8, No. 3, 257-267 (2004). MSC: 46A40 06F25 47B65 × Cite Format Result Cite Review PDF Full Text: DOI
Sen, M. K.; Ghosh, Shamik; Ghosh, Suma An introduction to bisemirings. (English) Zbl 1071.16047 Southeast Asian Bull. Math. 28, No. 3, 547-559 (2004). MSC: 16Y60 × Cite Format Result Cite Review PDF
Boulabiar, Karim Order bounded separating linear maps on {\(\Phi\)}-algebras. (English) Zbl 1081.47042 Houston J. Math. 30, No. 4, 1143-1155 (2004). Reviewer: Alexander Isaakovich Shtern (Moskva) MSC: 47B65 06F25 16S60 × Cite Format Result Cite Review PDF
Samei, K. Clean elements in commutative reduced rings. (English) Zbl 1068.06020 Commun. Algebra 32, No. 9, 3479-3486 (2004). MSC: 06F25 13A15 16D25 × Cite Format Result Cite Review PDF Full Text: DOI
Scheffold, E. On positive resolvent values of positive operators. (Über positive Resolventenwerte positiver Operatoren.) (German. English summary) Zbl 1061.47005 Positivity 8, No. 2, 179-186 (2004). MSC: 47A10 46H99 46B42 47B65 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jingjing Finite dimensional simple algebras that do not admit a lattice order. (English) Zbl 1060.06024 Commun. Algebra 32, No. 4, 1615-1617 (2004). Reviewer: Marius Tarnauceanu (Iaşi) MSC: 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Montalvo, F.; Pulgarín, A.; Requejo, B. Order topologies on \(l\)-algebras. (English) Zbl 1053.06012 Topology Appl. 137, No. 1-3, 225-236 (2004). Reviewer: William A. Feldman (Fayetteville) MSC: 06F30 06F25 54H12 46A40 46H05 54C35 × Cite Format Result Cite Review PDF Full Text: DOI
van den Berg, John Primeness conditions on the lattice of hereditary pretorsion classes. (English) Zbl 1068.16040 Commun. Algebra 32, No. 1, 65-77 (2004). Reviewer: Mark L. Teply (Milwaukee) MSC: 16S90 16N60 06F05 06C05 16P60 16B70 × Cite Format Result Cite Review PDF Full Text: DOI
Martinez, Jorge; Zenk, Eric R. When an algebraic frame is regular. (English) Zbl 1092.06011 Algebra Univers. 50, No. 2, 231-257 (2003). Reviewer: Radomír Halaš (Olomouc) MSC: 06D22 06F20 06F25 × Cite Format Result Cite Review PDF Full Text: DOI