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

DOI10.1081/AGB-120004007zbMath1003.16006MaRDI QIDQ4552444

Frank Okoh

Publication date: 3 September 2002

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

zbMATH Keywords

direct sumsprojective modulespure semisimple ringsinfinite representation typeright Artinian ringsmodules of finite lengthhereditary ringspreinjective modulesproduct conjectureindecomposable finitely generated modulespure semisimplicity conjecture

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (3)

A key module over pure-semisimple hereditary rings. ⋮ Preinjective modules over pure semisimple rings. ⋮ On the endofiniteness of a key module over pure semisimple rings

Cites Work

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• An Artin problem for division ring extensions and the pure semisimplicity conjecture. II
• Matrix reductions for artinian rings, and an application to rings of finite representation type
• On right pure semisimple hereditary rings and an Artin problem
• An Artin problem for division ring extensions and the pure semisimplicity conjecture. I
• DIRECT PRODUCTS OF MODULES AND THE PURE SEMISIMPLICITY CONJECTURE
• Representation Theory of Artin Algebras II

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