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Minimaxness and finiteness properties of local homology and local cohomology modules

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Abstract

We prove some results concerning minimaxness and finiteness of local homology modules and by Matlis duality we extend some results for the minimaxness and finiteness of local cohomology modules. We introduce the concept of C-minimax R-modules, and we discuss the maximum and minimum integers such that local homology and local cohomology modules are C-minimax. As a consequence, we find minimum integers such that local homology and local cohomology modules are of finite length.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Payame Noor University (PNU), Tehran, Iran

    Shahram Rezaei

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  1. Shahram Rezaei
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Correspondence to Shahram Rezaei.

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Rezaei, S. Minimaxness and finiteness properties of local homology and local cohomology modules. Indian J Pure Appl Math 49, 383–396 (2018). https://doi.org/10.1007/s13226-018-0275-6

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  • DOI: https://doi.org/10.1007/s13226-018-0275-6

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