Artin algebras with irreducible maps between projective and injective modules

DOI10.1080/00927878508823254zbMath0567.16019OpenAlexW2171154142MaRDI QIDQ3682633

Brit Rohnes

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823254

zbMATH Keywords

finite representation typeartin algebraindecomposable projectiveLoewy lengthirreducible mapindecomposable injectivepreinjective and preprojective partitions

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10) Artinian rings and modules (associative rings and algebras) (16P20) Homological methods in associative algebras (16Exx)

Cites Work

• Preprojective modules over Artin algebras
• Almost projective modules and almost split sequences with indecomposable middle term
• Representation theory of artin algebras iii almost split sequences
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Preprojective partitions for trivial extensions of hereditary algebras

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