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-module. 
Mustafa A. A. Obaid, S. Khalid Nauman, Wafaa M. Fakieh and Claus   Michael Ringel
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