Let $ R $ be a commutative noetherian ring and $\mathfrak {a} $ an ideal of $ R $. The goal
of this paper is to establish the local-global principle for the artinianness dimension $ r …

By creating a dual functor of localization, co-localization functor, in a compactly generated
tensor triangulated category T, we develop a theory, cosupport, dual to that of support in T …

ON THE RINGS WHOSE INJECTIVE HULLS ARE FLAT 1. Introduction Let R be a
commutative Noetherian ring with nonzero identity and let Page 1 PROCEEDINGS OF THE …

On the finiteness of co-associated primes of local homology modules Page 1 J. Math. Kyoto
Univ. (JMKYAZ) 48-3 (2008), 521–527 On the finiteness of co-associated primes of local …

Let R be a commutative ring and M a nonzero R-module. We introduce the class of pseudo-
strongly (PS)-hollow submodules of M. Inspired by the theory of modules with secondary …

We introduce the concept CFA modules and their applications in investigation the
coassociated primes of local homology modules. The main result of this paper says that if M …

Let 𝔞 be an ideal of a commutative noetherian ring R and M an R-module with Cosupport in
V (𝔞). We show that M is 𝔞-coartinian if and only if Ext R i (R/𝔞, M) is artinian for all 0≤ i≤ …

Throughout this paper A will denote a commutative Noetherian ring with a non-zero identity.
In this paper we will consider the asymptotic stability of some sequences of sets related to …

Some results on local homology and local cohomology modules Page 1 Illinois Journal of
Mathematics Volume 57, Number 1, Spring 2013, Pages 17–23 S 0019-2082 SOME RESULTS …

For an ideal H in a Noetherian ring R let H∗=∪{H i+ 1: RH i| i≥ 0} and for a multiplicatively
closed set Δ of nonzero ideals of R let H Δ=∪{HK: RK| K∊ Δ}. It is shown that four standard …