Decomposition Theory of Perfect Modules

DOI10.1142/S1005386709000066zbMath1190.16009OpenAlexW2005061412MaRDI QIDQ3607453

Zhi Xiang Wu, Kar Ping Shum

Publication date: 2 March 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1601/S1005386709000066.html

zbMATH Keywords

semisimple modulessemi-Artinian ringsdecompositions of modulesperfect 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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20) Other special types of modules and ideals in commutative rings (13C13) Coalgebras and comodules; corings (16T15)

Cites Work

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• On semi-artinian \(V\)-modules
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• Decomposition of modules. II: Rings without chain conditions
• Primary decomposition of modules
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA