Tilting modules and a theorem of Hoshino

DOI10.1017/S0017089500009575zbMath0778.16005MaRDI QIDQ4033126

Otto Kerner, Ibrahim Assem

Publication date: 16 May 1993

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

tametilting theoryindecomposable modulesinjective modulestorsion classfinite dimensional algebratorsion theorytilting modulecotilting modulewildrepresentation-finitetorsion-free classcategory of finitely generated right \(A\)- modulescotilting theoryiterated tilted algebra of euclidean type

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (1)

Glueings of tilted algebras

Cites Work

• Unnamed Item
• Tame algebras and integral quadratic forms
• Modules without self-extensions and Nakayama's conjecture
• Covering spaces in representation-theory
• Quadratic forms and iterated tilted algebras
• Algebras with cycle-finite derived categories
• Torsion Theories Induced by Tilting Modules
• Torsion Theories and Tilting Modules
• A note on wild quiver algebras and tilting modules
• Tilting Wild Algebras
• Tilting Modules and Torsion Theories
• Tilted Algebras
• Representation theory of artin algebras iii almost split sequences

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