Preinjective modules and finite representation type of artinian rings

DOI10.1080/00927879908826674zbMath0953.16011OpenAlexW2029831728MaRDI QIDQ4261248

Nguyen Viet Dung

Publication date: 26 October 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826674

zbMATH Keywords

almost split morphismsfinite representation typeright Artinian ringspreinjective modulesself-injective ringsdirect sums of finitely generated modulesright pure semisimple ringsendolengthspure semisimple conjecture

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (10)

Endofinite modules and pure semisimple rings. ⋮ ON THE FINITE TYPE OF FAMILIES OF INDECOMPOSABLE MODULES ⋮ Rings whose modules satisfy chain conditions on essential endosubmodules ⋮ Copure semisimple categories and almost split maps. ⋮ PURE SEMISIMPLE FINITELY ACCESSIBLE CATEGORIES AND HERZOG'S CRITERION ⋮ Endoproperties of modules and local duality. ⋮ Preinjective modules over pure semisimple rings. ⋮ Strong preinjective partitions and almost split morphisms ⋮ Additive categories of locally finite representation type ⋮ The Gabriel-Roiter measure for right pure semisimple rings.

Cites Work

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