Module theory. Endomorphism rings and direct sum decompositions in some classes of modules.

DOI10.1007/978-3-0348-0303-8zbMath1273.16007OpenAlexW4211193396MaRDI QIDQ655166

Alberto Facchini

Publication date: 2 January 2012

Published in: Modern Birkhäuser Classics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0303-8

zbMATH Keywords

endomorphism ringsKrull-Schmidt theoremArtinian modulesdirect sums of uniserial modulesdirect sum decompositionsdirect sums of indecomposable modulesKrull problemWarfield problem

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) Collected or selected works; reprintings or translations of classics (01A75) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) 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) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

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