The converse of Schur’s Lemma in group rings

Authors :: Abdelfattah Haily
M. Alaoui
Source :: Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Publicacions Matemàtiques; Vol. 50, Núm. 1 (2006); p. 203-209, Recercat. Dipósit de la Recerca de Catalunya, instname, Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Publication Year :: 2006
Publisher :: Universitat Autonoma de Barcelona, 2006.
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.