Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals Page 1
Canadian Mathematical Bulletin doi:10.4153/CMB-2011-046-8 c©Canadian Mathematical …

Let\mathfrak a,\mathfrak ba, b be ideals of a commutative Noetherian ring RR and let M, NM,
N be finite R R-modules. The concept of an\mathfrak a a-filter grade of\mathfrak bb on MM is …

Let $\mathfrak {a} $ be an ideal of a local ring $(R,\mathfrak {m}) $ and $ X $ a $ d $-
dimensional homologically bounded complex of $ R $-modules whose all homology …

Artinian graded generalized local cohomology Page 1 Journal of Algebra and Its
Applications Vol. 14, No. 7 (2015) 1550111 (10 pages) c© World Scientific Publishing …

Let 𝔞, 𝔟 be ideals of a commutative Noetherian ring R and N be a finitely generated R-
module. By using filter regular sequences, we show that the infimum of integers i such that …

Let R be a commutative Noetherian ring with identity, I be an ideal of R and M, N be two R-
modules. Throughout this paper, we denote by idR M and fdR M the injective dimension and …

Let R=⊕ n 李 0Rn be a graded Noetherian ring with local base ring R0 and let R+=⊕ n 李
1Rn. Let M and N be finitely generated graded R-modules. In this paper we extend some of …

Let (R, 𝔪) be a local ring, 𝔞 an ideal of R, and M, N be two finitely generated R-modules. We
show that r= gdepth (M/𝔞M, N) is the least integer such that has infinite support. Also, we …

Let R=⨁ i≥ 0 R i be a positively graded Noetherian ring with irrelevant ideal R+=⨁ i≥ 1 R i,
and let M, N be two finitely generated graded R-modules such that pd (M) is finite. We show …

Let (R, 𝔪) be a Noetherian local ring, 𝔞 a proper ideal of R, and M, N two finitely generated
R-modules of finite projective dimension m and of finite dimension n, respectively. It is …