Auslander's formula for contravariantly finite subcategories
Auslander's formula for contravariantly finite subcategories
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DOI：
10.2969/jmsj/83308330
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发表时间：
2016-12
影响因子：
0.7
通讯作者：
J. Asadollahi;R. Hafezi;M. Keshavarz
中科院分区：
文献类型：
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作者：
J. Asadollahi;R. Hafezi;M. Keshavarz
Auslander公式关于一个逆变有限子范畴的一个相对版本将被给出。双版本将被处理。将提供几个示例和应用。特别地，我们证明了在一定条件下，如果artin代数$\Lambda$和$\Lambda '$的相对Auslander代数是Morita等价的，那么$\Lambda$和$\Lambda'$也是Morita等价的.
A relative version of Auslander's formula with respect to a contravariantly finite subcategory will be given. Dual version will be treated. Several examples and applications will be provided. In particular, we show that under certain circumstances, if relative Auslander algebras of artin algebras $\Lambda$ and $\Lambda'$ are Morita equivalent, then $\Lambda$ and $\Lambda'$ are also Morita equivalent.