In this article, considering the difference between the finiteness dimension and
cohomological dimension of a finitely generated graded module, we investigate the …

Artinianness of local cohomology modules Page 1 Ark. Mat., 52 (2014), 1–10 DOI: 10.1007/s11512-013-0187-y
c 2013 by Institut Mittag-Leffler. All rights reserved Artinianness of local cohomology …

Artinianness of Certain Graded Local Cohomology Modules Page 1 Canadian
Mathematical Bulletin doi:10.4153/CMB-2011-044-1 c Canadian Mathematical Society …

Let=⊕∈ N0 be a homogeneous Noetherian ring with local base ring (0, 0) and that be a
finitely generated graded-module. Let+() be the-th local cohomology module of with respect …

RESULTS OF CERTAIN LOCAL COHOMOLOGY MODULES 1. Introduction Throughout this
paper, we assume that R is a commutative Noetherian Page 1 Bull. Korean Math. Soc. 51 (2014) …

Let R=⨁ n∈ ℕ0 R n be a noetherian homogeneous ring with local base ring (R 0, 𝔪0) and
irrelevant ideal R+, let M be a finitely generated graded R-module. We shall define the upper …

Abstract Let j: R0→ R be a ring homomorphism and suppose that a and a0, respectively, are
ideals of R and R0 such that R/a0R+ a is an Artinian ring. Let M and N be two finitely …

Let $ R=\oplus_ {n\in\Bbb N_0} R_n $ be a Noetherian homogeneous ring with local base
ring $(R_0,\frak {m} _0) $, $ M $ and $ N $ two finitely generated graded $ R $-modules. Let …

Artinianess of Graded Generalized Local Cohomology Modules 1 Introduction Page 1
Mathematics Scientific Journal Vol. 7, No. 1, (2011), 107-117 Artinianess of Graded Generalized …

(M) is not finitely generated} and j= 0, 1. This generalizes the corresponding result which
was shown by R. Sazeedeh [J. Pure Appl. Algebra 212 (2008), no. 1, 275–280; MR2355050 …