On the indecomposable modules in almost cyclic coherent Auslander-Reiten components

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概要

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• We establish an inequality between the dimensions of the endomorphism and extension spaces of the indecomposable modules in generalized standard almost cyclic coherent components of the Auslander-Reiten quivers of finite dimensional algebras over an arbitrary base field. As an application we provide a homological characterization, involving the Euler quadratic form, of the tame algebras with separating families of almost cyclic coherent Auslander-Reiten components.

• 社団法人 日本数学会の論文
• 2011-10-01

著者

• Skowronski Andrzej

  Faculty Of Mathematics And Computer Science Nicholas Copernicus University

• MALICKI Piotr

  Faculty of Mathematics and Computer Science Nicolaus Copernicus University

関連論文

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• The stable Calabi-Yau dimension of tame symmetric algebras
• Concealed generalized canonical algebras and standard stable tubes
• Socle deformations of selfinjective algebras of tubular type
• On the indecomposable modules in almost cyclic coherent Auslander-Reiten components
• Generalized double tilted algebras

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