A Krull-Schmidt theorem for infinite products of modules.

DOI10.1016/J.JALGEBRA.2014.03.013zbMath1318.16004OpenAlexW1970228496MaRDI QIDQ402679

Damir Franetič

Publication date: 28 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.03.013

zbMATH Keywords

semiperfect ringsdirect product decompositionsinfinite product decompositionsKrull-Schmidt-Remak-Azumaya theoremslender modulesstrongly indecomposable 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) Other classes of modules and ideals in associative algebras (16D80)

Related Items (1)

Direct products of modules whose endomorphism rings have at most two maximal ideals

Cites Work

• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• H-spaces, semiperfect rings and self-homotopy equivalences
• Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem
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