Let o be the ring of integers in a finite extension K/Q _p K/Q p and G= G (Q _p) G= G (Q p) be
the Q _p Q p-points of a Q _p Q p-split reductive group GG defined over Z _p Z p with …

Let $ I $ be an ideal of a commutative Noetherian ring $ R $. Let $ M $ and $ N $ be any $ R
$-modules. We define the generalized completion homology modules $ L_i\Lambda^ I (N …

We introduce and study a new class of morphisms which includes morphisms represented
by monomorphisms in the sense of Auslander and Bridger. As an application, we give not …

Let R be a commutative Noetherian ring, I an ideal of R, M an R-module (not necessary I-
torsion) and K a finitely generated R-module with Supp R (K)⊆ V (I). It is shown that if M is I …

k-REGULAR SEQUENCES TO EXTENSION FUNCTORS AND LOCAL COHOMOLOGY
MODULES Sajjad Arda, SO Faramarzi† and Kh. Ahmadi Amoli Abst Page 1 S. ARDA, SO …

From the cohomological viewpoint, maximal Cohen-Macaulay modules over a local ring
have many similarities with finitely generated modules over an Artinian ring. Therefore, the …

Let S be a ring extension of R, and let τ R=(TR, FR) and τ S=(TS, FS) be torsion theories for
right R-modules and right S-modules respectively. Using functors HomR (−, S) and−⊗ RS …

Modules M such that Ext R(M,−) Commutes with Direct Limits Page 1 Algebr Represent Theor
(2013) 16:1799–1808 DOI 10.1007/s10468-012-9382-y Modules M such that Ext 1 R(M,−) …

Let $\mathfrak {a} $ be an ideal of a commutative noetherian ring $ R $, $\mathcal {S} $ a
Serre subcategory of $ R $-modules satisfying the condition $ C_\mathfrak {a} $ and …

In this paper, we describe the graded canonical module of a Noetherian multisection ring of
a normal projective variety. In particular, in the case of the Cox ring, we prove that the …