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Unified tame theorem
Authors:YingBo Zhang  YunGe Xu
Institution:ZHANG YingBo1 & XU YunGe2 1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China 2 School of Mathematics , Computer Science,Hubei University,Wuhan 430062,China
Abstract:The well-known tame theorem tells that for a given tame bocs and a positive integer n there exist finitely many minimal bocses, such that any representation of the original bocs of dimension at most n is isomorphic to the image of a representation of some minimal bocses under a certain reduction functor. In the present paper we will give an alternative statement of the tame theorem in terms of matrix problem, by constructing a unified minimal matrix problem whose indecomposable matrices cover all the canoni...
Keywords:matrix problem  canonical form  representation tame type  indecomposable  
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