The converse of Schur's Lemma in group rings

M. Alaoui; A. Haily

Publicacions Matemàtiques (2006)

  • Volume: 50, Issue: 1, page 203-209
  • ISSN: 0214-1493

Abstract

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In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma. Some results are obtained on fixed subrings and on primary decomposition of group rings.

How to cite

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Alaoui, M., and Haily, A.. "The converse of Schur's Lemma in group rings." Publicacions Matemàtiques 50.1 (2006): 203-209. <http://eudml.org/doc/41585>.

@article{Alaoui2006,
abstract = {In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma. Some results are obtained on fixed subrings and on primary decomposition of group rings.},
author = {Alaoui, M., Haily, A.},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de anillos; Anillos de grupos; Módulos; Anillos asociativos; group rings; Schur lemma; simple modules; endomorphism rings; division rings; CSL rings; group algebras},
language = {eng},
number = {1},
pages = {203-209},
title = {The converse of Schur's Lemma in group rings},
url = {http://eudml.org/doc/41585},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Alaoui, M.
AU - Haily, A.
TI - The converse of Schur's Lemma in group rings
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 1
SP - 203
EP - 209
AB - In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma. Some results are obtained on fixed subrings and on primary decomposition of group rings.
LA - eng
KW - Teoría de anillos; Anillos de grupos; Módulos; Anillos asociativos; group rings; Schur lemma; simple modules; endomorphism rings; division rings; CSL rings; group algebras
UR - http://eudml.org/doc/41585
ER -

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