ON DIRECT SUM DECOMPOSITIONS OF KRULL–SCHMIDT ARTINIAN MODULES

DOI10.1142/S021949881350103XzbMath1303.16006arXiv1308.4711MaRDI QIDQ5414190

Juan Orendain

Publication date: 2 May 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4711

zbMATH Keywords

direct sum decompositionsdescending chain condition on direct summandsindecomposable direct sumsKrull-Schmidt Artinian modules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• Universal derivations and universal ring constructions
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• A Remark on the Krull-Schmidt-Azumaya Theorem
• On semilocal rings

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