We show that if M is a finitely generated module over a commutative Noetherian local ring R
and I is a dimension one ideal of R (ie, dim RI= 1), then the local cohomology modules HIi …

COFINITENESS OF LOCAL COHOMOLOGY MODULES FOR IDEALS OF DIMENSION ONE
Page 1 K.-I. Yoshida Nagoya Math. J. Vol. 147 (1997), 179-191 COFINITENESS OF LOCAL …

Let R be ad-dimensional regular local ring, I an ideal of R, and M a finitely generated R-
module of dimension n. We prove that the set of associated primes of Ext Ri (R/I, H Ij (M)) is …

Let R be a commutative Noetherian ring and let M be a non-zero finitely generated R-
module. Let I be an ideal of R and ta non-negative integer such that dimSuppHIi (M)⩽ 1 for …

It is well known that for a Noetherian ring R, an ideal I of R, and M a finitely generated R-
module, the local cohomology modules HiI (M) are not always finitely generated. On the …

Let be an ideal of Noetherian ring R and let s be a non-negative integer. Let M be an R-
module such that is finite R-module. If s is the first integer such that the local cohomology …

Let R be a commutative Noetherian local ring of dimension d, I an ideal of R, and M a finitely
generated R-module. We prove that the set of associated primes of the local cohomology …

Let $\mathfrak {a} $ be an ideal of a commutative Noetherian ring $ R $ and $ M $ a finitely
generated $ R $-module. Let $ t $ be a natural integer. It is shown that there is a finite subset …

In this note we show that if $ I $ is an ideal of a Noetherian ring $ R $ and $ M $ is a finitely
generated $ R $-module, then for any minimax submodule $ N $ of $ H^{t} _ {I}(M) $ the $ R …

A FINITENESS RESULT FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES 1.
Introduction Apparently very little is known about the Page 1 PROCEEDINGS OF THE …