Asymmetry in the Converse of Schur's Lemma

DOI10.1080/00927870902828744zbMath1255.16003OpenAlexW2085461776MaRDI QIDQ3562326

Marina Dombrovskaya, Greg Marks

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902828744

zbMATH Keywords

endomorphism ringssimple modulesconverse of Schur lemmaright CSL rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Noncommutative local and semilocal rings, perfect rings (16L30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

On some classes of semi-Artinian rings. ⋮ Mod-retractable strongly π-regular rings and group algebras ⋮ Decomposition of group rings and 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

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• On regular rings with stable range 2
• On semi-artinian \(V\)-modules
• Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
• On injective modules whose endomorphism rings are simple artinian
• INDECOMPOSABLE INJECTIVE MODULES AND A THEOREM OF KAPLANSKY
• The Converse of Schur's Lemma in Noetherian Rings and Group Algebras
• Simple Endomorphism Rings
• The Nil Radical of a Ring with Krull Dimension

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