In this paper, we give some necessary and sufficient conditions of a module to be an almost
Cohen–Macaulay module by using a characterization of the associated primes set of the first …

Let (R, m) be a Cohen–Macaulay local ring of dimension d, C a canonical R-module and M
an almost Cohen–Macaulay R-module of dimension n and of depth t. We prove that dim Ext …

A conjecture raised in 1990 by C. Huneke predicts that, for a $ d $-dimensional Noetherian
local ring $ R $, local cohomology modules of finitely generated $ R $-modules have finitely …

Our main goal in this paper is to answer new positive cases of the natural generalized
version of Hartshorne's celebrated question on cofiniteness of local cohomology modules …

Let R be a commutative Noetherian ring, 𝔞 an ideal of R, and M, N two nonzero finitely
generated R-modules. Let t be a non-negative integer. It is shown that dim Supp for all i< t if …

ON COATOMIC MODULES AND LOCAL COHOMOLOGY MODULES WITH RESPECT TO A
PAIR OF IDEALS - 대한수학회지 - 대한수학회 : 논문 - DBpia 메뉴 건너뛰기 DBpia 전체 search …

ON I-FINE MODULES, I-COFINE MODULES AND LOCAL COHOMOLOGY MODULES Key
words: Local cohomology, coatomic module, I-fine module. 20 Page 1 ON I-FINE MODULES …

Let $ R $ be a Noetherian ring, $ I $ an ideal of $ R $ and $ M $ an $ R $-module. In this
article, we examine the question of whether an arbitrary top local cohomology module …

Let $ R $ be a commutative Noetherian ring and let $ fa $, $ fb $ be two ideals of $ R $ such
that $ R/({fa+ fb}) $ is Artinian. Let $ M $, $ N $ be two finitely generated $ R $-modules. We …