The Converse of Schur's Lemma in Noetherian Rings and Group Algebras

DOI10.1081/AGB-200063512zbMath1089.16020OpenAlexW2027192149MaRDI QIDQ5466677

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Publication date: 25 August 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200063512

zbMATH Keywords

endomorphism ringsgroup algebrassimple modulesSchur lemmaNoetherian ringsdivision ringsCSL rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Mod-retractable strongly π-regular rings and group algebras, Decomposition of group rings and the converse of Schur’s lemma, Asymmetry in the Converse of Schur's Lemma, Infinite groups whose group algebras satisfy the converse of Schur’s lemma, Modules Whose Endomorphism Rings are Division Rings

Cites Work

• On injective modules whose endomorphism rings are simple artinian
• Simple Endomorphism Rings
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