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Static subcategories of the module category of a finite-dimensional hereditary algebra

Let k be a field, let A a finite-dimensional hereditary k-algebra. We consider the category of all finite-dimensional A-modules. We are going to characterize the representation type of A (tame or wild) in terms of the possible subcategories of all M-static modules, where M is an indecomposable A-mod...

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Bibliographic Details
Published in:arXiv.org 2014-07
Main Authors: Obaid, Mustafa A A, S Khalid Nauman, Fakieh, Wafaa M, Ringel, Claus Michael
Format: Article
Language:English
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Summary:Let k be a field, let A a finite-dimensional hereditary k-algebra. We consider the category of all finite-dimensional A-modules. We are going to characterize the representation type of A (tame or wild) in terms of the possible subcategories of all M-static modules, where M is an indecomposable A-module.
ISSN:2331-8422