DIRECT PRODUCTS OF MODULES AND THE PURE SEMISIMPLICITY CONJECTURE

DOI10.1081/AGB-100000799zbMath0999.16006arXiv1407.2363OpenAlexW1973588601MaRDI QIDQ2749094

Birge Huisgen-Zimmermann, Frank Okoh

Publication date: 8 September 2002

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

Full work available at URL: https://arxiv.org/abs/1407.2363

zbMATH Keywords

finitely generated modulesArtin algebrasrepresentation typedirect sum decompositionspure semisimplicity

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of associative Artinian rings (16G10)

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DIRECT SUM DECOMPOSITION OF THE PRODUCT OF PREINJECTIVE MODULES OVER RIGHT PURE SEMISIMPLE HEREDITARY RINGS

Cites Work

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• Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring
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• Elementary Duality of Modules