TOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES

Authors

  • A.R. Nazari Department of Mathematics, Lorestan University, P.O. Box 68151-44316, Khorram Abad, Iran.
  • F. Rastgoo Department of Mathematics, Lorestan University, P.O. Box 68151-44316, Khorram Abad, Iran.
Abstract:

Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then there exists an ideal a of R such that AttR Hna (M)=T. As an application, we give some relationships between top local cohomology modules and top formal local cohomology modules.

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Journal title

volume 8  issue 2

pages  155- 164

publication date 2021-01-01

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