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

Journal of Algebraic Systems

A. R. Nazari¹  F. Rastgoo¹ 

[1] Department of Mathematics, Lorestan University, P.O. Box 68151-44316, Khorram Abad, Iran.;

关键词: attached primes;    local cohomology modules;    formal local cohomology modules;    noetherian local rings;   

DOI  :  10.22044/jas.2020.8830.1428

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown