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On Hom-spaces of tame algebras

✍ Scribed by Raymundo Bautista; Yuriy A. Drozd; Xiangyong Zeng; Yingbo Zhang

Book ID: 111488383
Publisher: SP Versita
Year: 2007
Tongue: English
Weight: 585 KB
Volume: 5
Category: Article
ISSN: 1895-1074
DOI: 10.2478/s11533-007-0002-8

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✦ Synopsis

Let Λ be a finite dimensional algebra over an algebraically closed field k and Λ has tame representation type. In this paper, the structure of Hom-spaces of all pairs of indecomposable Λ-modules having dimension smaller than or equal to a fixed natural number is described, and their dimensions are calculated in terms of a finite number of finitely generated Λ-modules and generic Λ-modules. In particular, such spaces are essentially controlled by those of the corresponding generic modules.

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