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arXiv · 1303.7293

Some properties of generalized local cohomology modules with respect to a pair of ideals

Tran Tuan Nam·Nguyen Minh Tri
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Abstract

We introduce a notion of generalized local cohomology modules with respect to a pair of ideals $(I,J)$ which is a generalization of the concept of local cohomology modules with respect to $(I,J).$ We show that generalized local cohomology modules $H^i_{I,J}(M,N)$ can be computed by the \v{C}ech cohomology modules. We also study the artinianness of generalized local cohomology modules $H^i_{I,J}(M,N).$

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Tran Tuan Nam, Nguyen Minh Tri. 2013-03-29. Some properties of generalized local cohomology modules with respect to a pair of ideals. https://arxiv.org/abs/1303.7293

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