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国家自然科学基金(10801117)

作品数:3 被引量:0H指数:0
相关作者:温道伟刘伟更多>>
相关机构:绍兴文理学院浙江大学城市学院更多>>
发文基金:国家自然科学基金浙江省教育厅科研计划更多>>
相关领域:理学更多>>

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投射模的自同态代数与有限维猜想
2018年
设代数A是整体维数有限的Artin代数,e是A的一个幂等元,则e Ae的有限维数有限,如果以下条件满足其一:(a)rep.dim(A/Ae A)≤3,且对任意单A/Ae A-模K,有proj.dim(AK)≤4;(b)对任意单A/Ae A-模K,都有proj.dim(AK)≤3.
温道伟刘伟
关键词:整体维数自同态代数
A construction of quasi-hereditary endomorphism algebras
2014年
In this article, we consider endomorphism algebras of direct sums of some local left ideals over a local algebra and give a construction of quasi-hereditary algebras.
WEN Dao-wei
INVARIANTS UNDER STABLE EQUIVALENCES OF MORITA TYPE
2012年
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 selfinjective 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 tvDe under cert..in conditions.
李方孙隆刚
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