Reduced torsion pairs

DOI10.1016/j.jpaa.2015.07.017zbMath1362.16019OpenAlexW1097686660MaRDI QIDQ888848

Otto Kerner

Publication date: 2 November 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.07.017

zbMATH Keywords

hereditary algebraExt-injective modulesExt-projective modules

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Cites Work

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• Frobenius algebras. I: Basic representation theory.
• Tame algebras and integral quadratic forms
• The regular components of the Auslander-Reiten quiver of a tilted algebra
• Constructing torsion pairs
• Cotilting modules over tame hereditary algebras.
• Tilting classes over wild hereditary algebras.
• One dimensional tilting modules are of finite type.
• Constructing tilting modules
• Elementary modules

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