Relative ideals in homological categories with an application to MV-algebras. (English) Zbl 07898686
Reviewer: George Janelidze (Cape Town)
Found 202 Documents (Results 1–100)
Finitely-generated left ideals in Banach algebras on groups and semigroups. (English) Zbl 1397.46038
Reviewer: G. H. Esslamzadeh (Shiraz)
The stable behavior of the augmentation quotients of the groups of order \(p^5\). I. (English) Zbl 1348.20005
Reviewer: János Kurdics (Nyíregyháza)
On two properties of the augmentation ideal \(I(G)\). (English) Zbl 1320.16013
Reviewer: S. V. Mihovski (Plovdiv)
Homotopical and combinatorial aspects of the theory of normal series in groups. (English. Russian original) Zbl 1308.20032
Proc. Steklov Inst. Math. 286, Suppl. 1, S1-S135 (2014); translation from Sovrem. Probl. Mat. 18, 5-145 (2014).
On certain quotients of lower central factors of a normal subgroup of a free group. (English) Zbl 1321.20007
Reviewer: Nako Nachev (Plovdiv)
Commutator identities on symmetric elements of group algebras. (English) Zbl 1282.16041
Reviewer: Todor Mollov (Plovdiv)
Group algebras. (English) Zbl 1291.16015
Reviewer: S. V. Mihovski (Plovdiv)
Presimplifiable and cyclic group rings. (English) Zbl 1258.16028
Reviewer: Jebrel M. Habeb (Irbid)
On the structure of the augmentation quotient group for some nonabelian 2-groups. (English) Zbl 1249.20004
On the structure of augmentation quotient groups for the generalized quaternion group. (English) Zbl 1239.20004
The generation of the augmentation ideal in profinite groups. (English) Zbl 1260.20046
Reviewer: Andrea Lucchini (Padova)
Invariant ideals of Abelian group algebras under the torus action of a field. II. (English) Zbl 1235.16022
Reviewer: János Kurdics (Nyíregyháza)
A basis for augmentation quotients of finite Abelian groups. (English) Zbl 1232.20006
Reviewer: Inder Bir Singh Passi (Chandigarh)
Augmentation quotients of the dihedral group. (Chinese. English summary) Zbl 1224.20001
An intersection theorem in free group rings. (English) Zbl 1231.20003
Reviewer: Nako Nachev (Plovdiv)
Groups acting on graphs. Reprint of the 1989 hardback ed. (English) Zbl 1272.20025
Cambridge Studies in Advanced Mathematics 17. Cambridge: Cambridge University Press (ISBN 978-0-521-18000-9/pbk). xxii, 283 p. (2010).
MSC:
20E08
20-02
20F05
05C25
55-02
57-02
05C05
18G20
20J05
55U30
57M05
57M15
57M20
57M35
57N10
57Q91
20F34
On Fox and augmentation quotients of semidirect products. (English) Zbl 1229.20005
Reviewer: Inder Bir Singh Passi (Chandigarh)
The augmentation quotients of the groups of order \(2^5\). II. (English) Zbl 1206.16017
Reviewer: János Kurdics (Nyíregyháza)
On Fox quotients of arbitrary group algebras. (English) Zbl 1210.20003
Reviewer: S. V. Mihovski (Plovdiv)
Approximate weak amenability of \(I_{0}(\text{SL}(2,\mathbb R))\). (English) Zbl 1201.46042
Reviewer: Madjid Eshaghi-Gordji (Semnan)
The augmentation quotients of the groups of order \(2^5\). I. (English) Zbl 1182.16019
Reviewer: János Kurdics (Nyíregyháza)
Isomorphism characterization of divisible groups in modular Abelian group rings. (English) Zbl 1167.16027
The augmentation ideal in group near-rings. (English) Zbl 1175.16036
Reviewer: Hans Lausch (Clayton)
Lower central and dimension series of groups. (English) Zbl 1157.20002
Lecture Notes in Mathematics 1952. Berlin: Springer (ISBN 978-3-540-85817-1/pbk). xxi, 346 p. (2009).
Reviewer: Todor Mollov (Plovdiv)
The structure of powers of the augmentation ideal and their consecutive quotients for the Burnside ring of a \(p\)-group. (Chinese. English summary) Zbl 1199.19001
Some augmentation quotients of integral group rings. (English) Zbl 1182.20004
Reviewer: Todor Mollov (Plovdiv)
Basis of powers of augmentation ideal and their quotient groups for some groups. (Chinese. English summary) Zbl 1154.20301
Augmentation quotients of integral group rings. (English) Zbl 1184.20003
Reviewer: Inder Bir Singh Passi (Chandigarh)
Identifications in modular group algebras. (English) Zbl 1148.20002
Reviewer: János Kurdics (Nyíregyháza)
Dimension quotients. (English) Zbl 1184.20004
Reviewer: S. V. Mihovski (Plovdiv)
On Schur classes for modules over group rings. (Russian, English) Zbl 1150.20303
Ukr. Mat. Zh. 59, No. 9, 1261-1268 (2007); translation in Ukr. Math. J. 59, No. 9, 1408-1416 (2007).
Finitary actions and invariant ideals. (English) Zbl 1162.16014
Reviewer: Michael Dokuchaev (São Paulo)
Structure of augmentation quotients of finite homocyclic Abelian groups. (English) Zbl 1143.20003
Reviewer: Inder Bir Singh Passi (Chandigarh)
Dimension filtration on loops. (English) Zbl 1146.20052
Reviewer: Liudmila Sabinina (Cuernavaca)
A note on strong Lie derived length of group algebras. (English) Zbl 1125.16014
Reviewer: Adalbert Bovdi (Debrecen)
Parametrization of central Frattini extensions and isomorphisms of small group rings. (English) Zbl 1120.20004
Reviewer: Jürgen Ritter (Augsburg)
Bidendriform bialgebras, trees, and free quasi-symmetric functions. (English) Zbl 1123.16030
Reviewer: Earl J. Taft (New Brunswick)
Homological and combinatorial methods in group rings. (English) Zbl 1149.16023
Reviewer: János Kurdics (Nyíregyháza)
On the prime graph of the unit group of integral group rings of finite groups. (English) Zbl 1126.20001
Chin, William (ed.) et al., Groups, rings and algebras. A conference in honor of Donald S. Passman, Madison, WI, USA, June 10–12, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3904-7/pbk). Contemporary Mathematics 420, 215-228 (2006).
Reviewer: Nako Nachev (Plovdiv)
Group rings with simple augmentation ideals. (English) Zbl 1130.20004
Arad, Zvi (ed.) et al., Ischia group theory 2004. Proceedings of a conference in honor of Marcel Herzog, Naples, Italy, March 31–April 03, 2004. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 0-8218-3711-7/pbk). Contemporary Mathematics 402. Israel Mathematical Conference Proceedings, 171-180 (2006).
Reviewer: Michael Dokuchaev (São Paulo)
The quasi-variety of groups with trivial fourth dimension subgroup. (English) Zbl 1144.20016
Reviewer: S. V. Mihovski (Plovdiv)
Linear groups with minimality condition for some infinite-dimensional subgroups. (Ukrainian, English) Zbl 1096.20043
Ukr. Mat. Zh. 57, No. 11, 1476-1489 (2005); translation in Ukr. Math. J. 57, No. 11, 1726-1740 (2005).
Augmentation quotients of free group rings. (English) Zbl 1104.20002
Reviewer: S. V. Mihovski (Plovdiv)
The stable class of the augmentation ideal. (English) Zbl 1094.20001
Reviewer: S. V. Mihovski (Plovdiv)
Structure of powers of augmentation ideals and their quotient groups for integral group rings of dihedral groups. (Chinese. English summary) Zbl 1084.20003
Some recent developments in group near-rings. (English) Zbl 1082.16048
Kiechle, Hubert (ed.) et al., Nearrings and nearfields. Proceedings of the conference on nearrings and nearfields, Hamburg, Germany, July 27–August 3, 2003. Dordrecht: Springer (ISBN 1-4020-3390-7/hbk; 1-4020-3391-5/e-book). 35-55 (2005).
Reviewer: Hans Lausch (Clayton)
Two-sided ideals in group near-rings. (English) Zbl 1080.16050
Reviewer: Giovanni Ferrero (Parma)
Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups. (English) Zbl 1068.16032
Reviewer: S. V. Mihovski (Plovdiv)
Augmentation powers and group homology. (English) Zbl 1059.16017
Reviewer: S. V. Mihovski (Plovdiv)
Combinatorial methods. Free groups, polynomials, and free algebras. (English) Zbl 1039.16024
CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 19. New York, NY: Springer (ISBN 0-387-40562-3/hbk). xii, 315 p. (2004).
Reviewer: Vyacheslav A. Artamonov (Moskva)
Survey on dimension subgroup problem. (English) Zbl 1055.20002
Cho, Jung Rae (ed.) et al., Recent advances in group theory and low-dimensional topology. Proceedings of the 2nd German-Korean workshop on algebra and topology, Pusan, Korea, August 14–26, 2000. Lemgo: Heldermann Verlag (ISBN 3-88538-227-X/pbk). Res. Expo. Math. 27, 167-181 (2003).
Reviewer: A. A. Bovdi (Debrecen)
Building resolutions. (English) Zbl 1063.20002
Torsion freeness of the unit group of \(1+\Delta(G)\Delta(A)\). (English) Zbl 1046.16014
Bahturin, Yuri (ed.), Groups, rings, Lie and Hopf algebras. Based on the international workshop, St. John’s, Canada, May 28–June 1, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1220-9/hbk). Math. Appl., Dordr. 555, 203-210 (2003).
Reviewer: Inder Bir Singh Passi (Allahabad)
The unit group of \(1+\Delta(G)\Delta(A)\) is torsion-free. (English) Zbl 1044.16027
Reviewer: Inder Bir Singh Passi (Allahabad)
On a problem of Karpilovsky. (English) Zbl 1034.20006
Reviewer: Inder Bir Singh Passi (Allahabad)
On a property of the integral semigroup ring of a free semigroup. (Russian) Zbl 1099.20524
Ukrainian mathematical congress – 2001. Algebraic structures and their applications. Proceedings of the third international algebraic conference held in framework of the Ukrainian mathematical congress, Kiev, Ukraine, July 2–8, 2001. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2777-9). 106-114 (2002).
Ideals in group algebras of simple locally finite groups of 1-type. (English) Zbl 1065.16023
Reviewer: Donald S. Passman (Madison)
Invariant ideals of Abelian group algebras under the action of simple linear groups. (English) Zbl 1050.16016
Dimension and Fox subgroups. (English) Zbl 1047.20009
Reviewer: János Kurdics (Nyíregyháza)
A note on the derived length of the unit group of a modular group algebra. (English) Zbl 1017.16022
Reviewer: János Kurdics (Nyiregyháza)
New invariants for groups. (English) Zbl 1083.20506
The dimension subgroup conjecture holds for odd order groups. (English) Zbl 1009.20006
Reviewer: S.V.Mihovski (Plovdiv)
Invariants for group algebras of splitting Abelian groups with simply presented components. (English) Zbl 1008.20005
Reviewer: Vesselin Drensky (Sofia)
Dimension congruences on a free semigroup. (English. Russian original) Zbl 1008.20057
St. Petersbg. Math. J. 13, No. 5, 821-825 (2002); translation from Algebra Anal. 13, No. 5, 150-155 (2001).
Reviewer: Jan Okniński (Warszawa)
Some intersections and identifications in integral group rings. (English) Zbl 1012.20003
Reviewer: Donald S.Passman (Madison)
A split embedding for groups of class three. (English) Zbl 1009.20007
Reviewer: S.V.Mihovski (Plovdiv)
Some intersection theorems and subgroups determined by certain ideals in integral group rings. II. (English) Zbl 1004.16019
Reviewer: S.V.Mihovski (Plovdiv)
Invariant ideals and polynomial forms. (English) Zbl 0998.16017
Reviewer: S.V.Mihovski (Plovdiv)
Invariant ideals of Abelian group algebras under the multiplicative action of a field. II. (English) Zbl 0992.16022
Reviewer: S.V.Mihovski (Plovdiv)
Invariant ideals of Abelian group algebras under the multiplicative action of a field. I. (English) Zbl 0992.16021
Reviewer: S.V.Mihovski (Plovdiv)
On principal blocks of \(p\)-constrained groups. (English) Zbl 1021.16020
Reviewer: Burkhard Külshammer (Jena)
Presenting powers of augmentation ideals of elementary \(p\)-groups. (English) Zbl 0990.16024
Reviewer: S.V.Mihovski (Plovdiv)
A basis for powers of the augmentation ideal. (English) Zbl 0979.16015
Reviewer: S.V.Mihovski (Plovdiv)
Projective modules, augmentation and idempotents in group algebras. (English) Zbl 0984.16024
Reviewer: Donald S.Passman (Madison)
Augmentation modules for affine groups. (English) Zbl 1005.20005
Reviewer: Alan R.Camina (Norwich)
Stable modules and the structure of Poincaré 3-complexes. (English) Zbl 0981.57001
Grove, Karsten (ed.) et al., Geometry and topology, Aarhus. Proceedings of the conference on geometry and topology, Aarhus, Denmark, August 10-16, 1998. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 258, 227-248 (2000).
Reviewer: Maria Rita Casali (Modena)
Subgroups determined by certain products of augmentation ideals. (English) Zbl 0957.20004
Reviewer: S.V.Mihovski (Plovdiv)
On a filtered multiplicative basis of group algebras. (English) Zbl 0986.20004
Reviewer: Herbert Kupisch (Berlin)
Generalized dimensional subgroups and elementary Abelian groups. (English) Zbl 0958.20004
Baik, Young Gheel (ed.) et al., Groups - Korea ’98. Proceedings of the 4th international conference, Pusan, Korea, August 10-16, 1998. Berlin: Walter de Gruyter. 355-366 (2000).
Reviewer: S.V.Mihovski (Plovdiv)
Groups related to Fox subgroups. (English) Zbl 0963.20002
Reviewer: Michael Dokuchaev (Sao Paulo)
Exterior homology and cohomology of finite groups. (English. Russian original) Zbl 1013.20047
Bukhshtaber, V. M. (ed.) et al., Solitons, geometry, and topology: on the crossroads. Collected papers dedicated to the 60th birthday of Academician Sergei Petrovich Novikov. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica, Proc. Steklov Inst. Math. 225, 190-218 (1999); translation from Tr. Mat. Inst. Steklova 225, 202-231 (1999).
Reviewer: Daniel Juan Pineda (Michoacan)
A Sehgal’s problem. (English) Zbl 0963.16019
Reviewer: M.Kolster (Hamilton/Ontario)
Transitivity of action on modular vectors. (Russian. English summary) Zbl 0996.16019
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