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Groups, Rings and Group Rings
 
Edited by: Antonio Giambruno Università di Palermo, Palermo, Italy
César Polcino Milies Universidade de São Paulo, São Paulo, Brazil
Sudarshan K. Sehgal University of Alberta, Alberta, Edmonton, Canada
Groups, Rings and Group Rings
eBook ISBN:  978-0-8218-8178-1
Product Code:  CONM/499.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Groups, Rings and Group Rings
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Groups, Rings and Group Rings
Edited by: Antonio Giambruno Università di Palermo, Palermo, Italy
César Polcino Milies Universidade de São Paulo, São Paulo, Brazil
Sudarshan K. Sehgal University of Alberta, Alberta, Edmonton, Canada
eBook ISBN:  978-0-8218-8178-1
Product Code:  CONM/499.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4992009; 270 pp
    MSC: Primary 05; 16; 17; 20; Secondary 13

    This volume represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28–August 2, 2008, in Ubatuba, Brazil.

    Papers in this volume contain results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras. In particular, topics such as growth functions on varieties, groups of units in group rings, representation theory of Lie algebras, Jordan, alternative and Leibniz algebras, graded identities, automorphisms of trees, and partial actions, are discussed.

    Readership

    Graduate students and research mathematicians interested in ring theory.

  • Table of Contents
     
     
    • Articles
    • Ferran Cedó, Eric Jespers and Jan Okniński — The radical of the four generated algebra of alternating type [ MR 2581922 ]
    • Wagner Cortes and Miguel Ferrero — Globalization of partial actions on semiprime rings [ MR 2581923 ]
    • W. Cortes, M. Ferrero and S. O. Juriaans — The Colombeau quaternion algebra [ MR 2581924 ]
    • Elizabeth Dan-Cohen, Ivan Penkov and Joseph A. Wolf — Parabolic subgroups of real direct limit Lie groups [ MR 2581925 ]
    • Ivan Dimitrov, Vyacheslav Futorny and Dimitar Grantcharov — Parabolic sets of roots [ MR 2581926 ]
    • Onofrio Mario Di Vincenzo and Ernesto Spinelli — Some results on $\ast $-minimal algebras with involution [ MR 2581927 ]
    • M. Dokuchaev and J. J. Simón — Invariants of partial group algebras of finite $p$-groups [ MR 2581928 ]
    • Raul Antonio Ferraz — Units of $\Bbb ZC_p$ [ MR 2581929 ]
    • Jairo Z. Gonçalves and Mazi Shirvani — Algebraic elements as free factors in simple Artinian rings [ MR 2581930 ]
    • Jairo Z. Gonçalves and Paula M. Veloso — Special units, unipotent units and free groups in group algebras [ MR 2581931 ]
    • Dimitar Grantcharov — Explicit realizations of simple weight modules of classical Lie superalgebras [ MR 2581932 ]
    • S. A. Jorge, V. R. da Silva and A. C. Vieira — Combinatorial aspects in the computation of proper multiplicities [ MR 2581933 ]
    • Iryna Kashuba and Ivan Shestakov — An estimate of the dimension of the varieties of alternative and Jordan algebras [ MR 2581934 ]
    • S. G. Klementyev and V. M. Petrogradsky — On growth of almost polynilpotent Lie algebras [ MR 2581935 ]
    • Plamen Koshlukov, Alexei Krasilnikov and Diogo D. P. Silva — Graded identities for Lie algebras [ MR 2581936 ]
    • Daniela La Mattina — Polynomial codimension growth of graded algebras [ MR 2581937 ]
    • I. S. Lima and P. A. Zalesskii — Euclidean Bianchi groups are conjugacy separable [ MR 2581938 ]
    • Christian Lomp and Alveri Sant’Ana — Comparability, distributivity and non-commutative $\phi $-rings [ MR 2581939 ]
    • Sergio López-Permouth, Jeremy Moore and Steve Szabo — Algebras having bases consisting entirely of units [ MR 2581940 ]
    • S. Mishchenko and A. Valenti — On the growth of varieties of algebras [ MR 2581941 ]
    • A. P. Pozhidaev — 0-dialgebras with bar-unity, Rota-Baxter and 3-Leibniz algebras [ MR 2581942 ]
    • Alon Regev and Amitai Regev — The Golod-Shafarevich counterexample without Hilbert series [ MR 2581943 ]
    • Humberto Luiz Talpo and Marcelo Firer — Automorphism groups of semi-homogeneous trees [ MR 2581944 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4992009; 270 pp
MSC: Primary 05; 16; 17; 20; Secondary 13

This volume represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28–August 2, 2008, in Ubatuba, Brazil.

Papers in this volume contain results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras. In particular, topics such as growth functions on varieties, groups of units in group rings, representation theory of Lie algebras, Jordan, alternative and Leibniz algebras, graded identities, automorphisms of trees, and partial actions, are discussed.

Readership

Graduate students and research mathematicians interested in ring theory.

  • Articles
  • Ferran Cedó, Eric Jespers and Jan Okniński — The radical of the four generated algebra of alternating type [ MR 2581922 ]
  • Wagner Cortes and Miguel Ferrero — Globalization of partial actions on semiprime rings [ MR 2581923 ]
  • W. Cortes, M. Ferrero and S. O. Juriaans — The Colombeau quaternion algebra [ MR 2581924 ]
  • Elizabeth Dan-Cohen, Ivan Penkov and Joseph A. Wolf — Parabolic subgroups of real direct limit Lie groups [ MR 2581925 ]
  • Ivan Dimitrov, Vyacheslav Futorny and Dimitar Grantcharov — Parabolic sets of roots [ MR 2581926 ]
  • Onofrio Mario Di Vincenzo and Ernesto Spinelli — Some results on $\ast $-minimal algebras with involution [ MR 2581927 ]
  • M. Dokuchaev and J. J. Simón — Invariants of partial group algebras of finite $p$-groups [ MR 2581928 ]
  • Raul Antonio Ferraz — Units of $\Bbb ZC_p$ [ MR 2581929 ]
  • Jairo Z. Gonçalves and Mazi Shirvani — Algebraic elements as free factors in simple Artinian rings [ MR 2581930 ]
  • Jairo Z. Gonçalves and Paula M. Veloso — Special units, unipotent units and free groups in group algebras [ MR 2581931 ]
  • Dimitar Grantcharov — Explicit realizations of simple weight modules of classical Lie superalgebras [ MR 2581932 ]
  • S. A. Jorge, V. R. da Silva and A. C. Vieira — Combinatorial aspects in the computation of proper multiplicities [ MR 2581933 ]
  • Iryna Kashuba and Ivan Shestakov — An estimate of the dimension of the varieties of alternative and Jordan algebras [ MR 2581934 ]
  • S. G. Klementyev and V. M. Petrogradsky — On growth of almost polynilpotent Lie algebras [ MR 2581935 ]
  • Plamen Koshlukov, Alexei Krasilnikov and Diogo D. P. Silva — Graded identities for Lie algebras [ MR 2581936 ]
  • Daniela La Mattina — Polynomial codimension growth of graded algebras [ MR 2581937 ]
  • I. S. Lima and P. A. Zalesskii — Euclidean Bianchi groups are conjugacy separable [ MR 2581938 ]
  • Christian Lomp and Alveri Sant’Ana — Comparability, distributivity and non-commutative $\phi $-rings [ MR 2581939 ]
  • Sergio López-Permouth, Jeremy Moore and Steve Szabo — Algebras having bases consisting entirely of units [ MR 2581940 ]
  • S. Mishchenko and A. Valenti — On the growth of varieties of algebras [ MR 2581941 ]
  • A. P. Pozhidaev — 0-dialgebras with bar-unity, Rota-Baxter and 3-Leibniz algebras [ MR 2581942 ]
  • Alon Regev and Amitai Regev — The Golod-Shafarevich counterexample without Hilbert series [ MR 2581943 ]
  • Humberto Luiz Talpo and Marcelo Firer — Automorphism groups of semi-homogeneous trees [ MR 2581944 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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