\({\mathfrak U}\)-fibre sums in Artinian rings.

DOI10.1016/0021-8693(89)90058-6zbMath0679.16022OpenAlexW2075706643MaRDI QIDQ1822596

Peter Dräxler

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90058-6

zbMATH Keywords

direct sumsindecomposable modulesArtinian ringsrepresentation finitecategory of finitely generated left modulesSchurian right peak PI-ringssocle projective left modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Cites Work

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• Vector space categories, right peak rings and their socle projective modules
• Schurian sp-representation-finite right peak PI-rings and their indecomposable socle projective modules
• Socle reductions and socle projective modules
• \({\mathfrak U}\)-Fasersummen in darstellungsendlichen Algebren. (\({\mathfrak U}\)- fibresums in representation finite algebras)
• On the exact representations of partially ordered sets of finite type
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms

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