The membership of the local cohomology modules Han (M) of a module M in certain Serre
subcategories of the category of modules is studied from below (i< n) and from above (i> n) …

Let R be a commutative Noetherian ring, I⊆ J be ideals of R and M be a finitely generated R-
module. In this paper it is shown that q (J, M)≤ q (I, M)+ cd (J, M/IM). Furthermore, it is shown …

Let I be an ideal of a Noetherian ring R and M be a finitely generated R-module. We
introduce the class of extension modules of finitely generated modules by the class of all …

A Unified Approach to Local Cohomology Modules using Serre Classes Page 1 Canad. Math.
Bull. Vol. 53 (4), 2010 pp. 577–586 doi:10.4153/CMB-2010-064-0 c©Canadian Mathematical …

Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules H^ i_I
(M) HI i (M) are I-cofinite, for all finitely generated R-modules M and all i ∈ N _0 i∈ N 0, if …

Let R be a Noetherian ring, I an ideal of R and M an R-module. It is shown that if Ext R i (R/I,
M) Ext^i_R(R/I,M) is finitely generated, for all i≤ dim M, then Ext R i (N, M) Ext^i_R(N,M) is …

Full article: A study of cofiniteness through minimal associated primes Skip to Main Content
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Bu çalışmada, Biga Yarımadasında Şahinli köyü (Lapseki, Çanakkale) civarında yüzeyleyen
ve Au-Ag cevherleşmesiyle ilişkili olan Eosen yaşlı Kestanelik granitoyidinin petrografik ve …

Let A be a noetherian ring and 𝔞 \fraka be an ideal of A. We define a condition P n (𝔞)
_n(\fraka) for 𝔞 \fraka-cofiniteness of modules and we show that if A is of dimension d …

Let (R,m) be a complete Noetherian local ring, I a proper ideal of R and M, N two finitely
generated R-modules such that Supp (N)⊆V(I). Let t≧0 be an integer such that for each …