Let A be a finite dimensional,connected,basic algebra over an algebraically closed field.We prove that A is of finite representation type if and only if there is a natural number m such that radm(End(M)) = 0,for any indecomposable A-modules M.This gives a partial answer to one of problems posed by Skowron'ski.
机构:
Univ Sci & Technol China, Sch Math Sci, Hefei, Anhui, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei, Anhui, Peoples R China
Guo, Jing
Liu, Yuming
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Beijing Normal Univ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei, Anhui, Peoples R China
机构:
Univ Buenos Aires, IMAS CONICET, Dept Matemat, Fac Ciencias Exactas & Nat, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, ArgentinaUniv Buenos Aires, IMAS CONICET, Dept Matemat, Fac Ciencias Exactas & Nat, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, DF, Argentina