Modules Whose Endomorphism Rings are Division Rings

DOI10.1080/00927872.2013.836211zbMath1342.16003OpenAlexW2095459139MaRDI QIDQ5495305

Cosmin S. Roman, Gangyong Lee, Xiao Xiang Zhang

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.836211

zbMATH Keywords

Schur lemmadivision ringsendomorphism rings of modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (4)

On a generalization of $C_2$-modules ⋮ Endoregular modules ⋮ Modules Whose Endomorphism Rings are Unit-Regular ⋮ Characterizations and Direct Sums of Unit-Endoregular Modules

Cites Work

• Unnamed Item
• Modules Whose Endomorphism Rings are Von Neumann Regular
• Asymmetry in the Converse of Schur's Lemma
• Extensions of Simple Modules and the Converse of Schur's Lemma
• The Converse of Schur's Lemma in Noetherian Rings and Group Algebras
• Simple Endomorphism Rings
• The Radical and Semi-Simplicity for Arbitrary Rings
• Perfect rings for which the converse of Schur's lemma holds

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