In the paper one shows that for two indecomposable non-simple self-injective algebras over a field K we have that if the functor - circle times(A) N(B) mod(A) -> mod(B) induces a stable equivalence mod(A) -> mod(B) then the bimodule (A)N(B) is contained in the frame of a connected component in the Auslander-Reiten quiver Gamma(A circle times K) (Bop) (C) 2010 Elsevier B V All rights reserved
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Chen, Hongxing
Pan, Shengyong
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Pan, Shengyong
Xi, Changchang
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Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China