INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE

doi:10.1016/S0252-9602(12)60042-3

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (2): 605-618.doi: 10.1016/S0252-9602(12)60042-3

INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE

李方|孙隆刚*

Department of Mathematics, Zhejiang University, Hangzhou 310027, China

收稿日期:2009-10-11 修回日期:2011-01-07 出版日期:2012-03-20 发布日期:2012-03-20
通讯作者: 孙隆刚,longgangsun@126.com E-mail:fangli@zju.edu.cn; longgangsun@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (10871170) and the Zhejiang Provincial Natural Science Foundation of China (D7080064). The second author is partially supported by the National Natural Science Foundation of China (10801117).

INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE

LI Fang, SUN Long-Gang*

Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Received:2009-10-11 Revised:2011-01-07 Online:2012-03-20 Published:2012-03-20
Contact: SUN Long-Gang,longgangsun@126.com E-mail:fangli@zju.edu.cn; longgangsun@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (10871170) and the Zhejiang Provincial Natural Science Foundation of China (D7080064). The second author is partially supported by the National Natural Science Foundation of China (10801117).

摘要/Abstract

摘要：

The aim of this article is to study some invariants of associative algebras under stable equivalences of Morita type. First of all, we show that, if two finite-dimensional self-injective k-algebras are stably equivalent of Morita type, then their orbit algebras are isomorphic. Secondly, it is verified that the quasitilted property of an algebra is invariant under stable equivalences of Morita type. As an application of this result, it is obtained that if an algebra is of finite representation type, then its tilted property is invariant under stable equivalences of Morita type; the other application to partial tilting modules is given in Section 4. Finally, we prove that when two finite-dimensional k-algebras are stably equivalent of Morita type, their repetitive algebras are also stably equivalent of Morita type under certain conditions.

关键词: Orbit algebra, repetitive algebra, stable equivalence of Morita type, qua-sitilted algebra

Abstract:

Key words: Orbit algebra, repetitive algebra, stable equivalence of Morita type, qua-sitilted algebra

中图分类号:

16G10

李方, 孙隆刚. INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE[J]. 数学物理学报(英文版), 2012, 32(2): 605-618.

LI Fang, SUN Long-Gang. INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE[J]. Acta mathematica scientia,Series B, 2012, 32(2): 605-618.

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INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE

INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE

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