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Static Subcategories of the Module Category of a Finite-Dimensional Hereditary Algebra
Journal article   Open access  Peer reviewed

Static Subcategories of the Module Category of a Finite-Dimensional Hereditary Algebra

Mustafa A. A. Obaid, S. Khalid Nauman, Wafaa M. Fakieh and Claus Michael Ringel
Communications in algebra, Vol.44(6), pp.2531-2546
02/06/2016
DOI: https://doi.org/10.1080/00927872.2015.1053902

Abstract

ab-projective modules Bricks Finite-dimensional hereditary algebras M-adstatic modules M-static modules Nakayama algebras Primary: 16G20 Representation types Secondary: 16D90 Tame, and wild and strictly wild The smallest exact abelian subcategory containing a given module Triple modules
Let k be a field, Λ a finite-dimensional hereditary k-algebra, and modΛ the category of all finite-dimensional Λ-modules. We are going to characterize the representation type of Λ (tame or wild) in terms of the possible subcategories statM of all M-static modules, where M is an indecomposable Λ-module.
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