Algebra summand;
Stable equivalence of Morita type;
D O I:
10.1080/00927870802160560
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
A stable equivalence of Morita type between two finite dimensional algebras with no separable summand will be shown to restrict to stable equivalences of Morita type between their summands. We will apply this to prove that stable equivalence of Morita type preserves self-injectivity of algebras and the property of being symmetric.
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
Liu, Yuming
Zhou, Guodong
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机构:
East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Dong Chuan Rd 500, Shanghai 200241, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Zhou, Guodong
Zimmermann, Alexander
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h-index: 0
机构:
Univ Picardie, Fac Math & LAMFA, CNRS, UMR 7352, 33 Rue St Leu, F-80039 Amiens 1, FranceBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China