Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals.

DOI10.1016/j.jpaa.2010.12.018zbMath1225.16001OpenAlexW2020338276MaRDI QIDQ538072

Babak Amini, Alberto Facchini, Afshin Amini

Publication date: 23 May 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.12.018

zbMATH Keywords

endomorphism ringsuniserial modulesdirect summandsKrull-Schmidt theoremdirect sums of modulesmaximal right idealsright 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) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items

Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules., Direct-sum decompositions of modules with semilocal endomorphism rings

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