Irreducible maps of commutative rings

DOI10.1080/00927879308824574zbMath0789.16013OpenAlexW4237574064MaRDI QIDQ4029235

Jeremy Haefner

Publication date: 15 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824574

zbMATH Keywords

Picard groupfinite representation typeAuslander-Reiten quiverAuslander-Reiten sequencesunique factorization domainBass ringBass domainBrauer-Thrall I conjecturecategory of \(R\)-latticeslocal Bass ringunique map factorization domain

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

Pure projective torsion free modules over Bass domains, Irreducible maps of commutative rings

Cites Work

• Cancellation over commutative rings of dimension one and two
• Vector bundles over affine surfaces
• Dedekind-like behavior of rings with 2-generated ideals
• On the ubiquity of Gorenstein rings
• Orders with loops in their auslander-reiten graph
• Representation Theory of Artin Algebras II
• Irreducible maps of commutative rings
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