Some results on the cofiniteness and annihilators of local cohomology modules |
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Authors: | Fahimeh Rastgoo |
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Affiliation: | Faculty of Mathematical Sciences, Lorestan University, Khorram Abad, Iran |
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Abstract: | Let (R,𝔪) be a Noetherian local ring. In this paper, we give a new characterization for the universal catenaricity of R and the Cohen–Macaulayness of all its formal fibers, and we study the cofiniteness and annihilators of local cohomology modules. |
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Keywords: | Cofinite modules local cohomology universally catenary rings whose formal fibers are Cohen-Macaulay |
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