Results 61 to 70 of about 645,410 (117)

Cofiniteness of local cohomology modules for a pair of ideals for small dimensions

, 2018
Let [Formula: see text] be a commutative Noetherian ring, [Formula: see text] and [Formula: see text] be two ideals of [Formula: see text] and [Formula: see text] be an [Formula: see text]-module (not necessary [Formula: see text]-torsion).
Moharram Aghapournahr
core   +1 more source

Cofiniteness and finiteness of associated prime ideals of generalized local cohomology modules [PDF]

Let $n$ be a non-negative integer, $R$ a commutative Noetherian ring, $\mathfrak{a}$ an ideal of $R$, $M$ and $N$ two finitely generated $R$-modules, and $X$ an arbitrary $R$-module. In this paper, we study cofiniteness and finiteness of associated prime
Vahidi, Alireza, Khaksari, Ahmad, Shirazipour, Mohammad   +2 more
core   +1 more source

RESULTS ON LOCAL COHOMOLOGY OF WEAKLY LASKERIAN MODULES

, 2011
Let R be a commutative Noetherian ring, 𝔞 be an ideal of R and M be an arbitrary R-module. In this paper, among other things, we show that if, for a non-negative integer t, the R-module [Formula: see text] is weakly Laskerian and [Formula: see text] is ...
NASER ZAMANI
core   +1 more source

COFINITENESS AND COASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES

, 2009
Let R be a noetherian ring, alpha an ideal of R such that dim R/alpha = 1 and M a finite R-module. We will study cofiniteness and some other properties of the local cohomology modules H-alpha(i)(M).
Melkersson, Leif,, Aghapournahr, Moharram,   +1 more
core   +1 more source

Cofiniteness with respect to ideals of dimension one

, 2012
We prove that the category of modules cofinite with respect to an ideal of dimension one in a noetherian ring is a full abelian subcategory of the category of modules.
Melkersson, Leif,
core   +1 more source

On the Category of Weakly Laskerian Cofinite Modules

, 2014
Let $R$ denote a commutative Noetherian (not necessarily local) ring and $I$ be an ideal of $R$. The main purpose of this note is to show that the category $\mathscr{WL}(R, I)_{\it cof}$ of $I$-cofinite weakly Laskerian $R$-modules forms an Abelian ...
Bahmanpour, Kamal
core  

The theory of C2-cofinite VOAs

, 2016
Rational VOAs are by now quite well understood: their representation theory is captured by a modular tensor category; their characters define a vector-valued modular form for $SL(2,Z)$; etc.
Gannon, Terry
core   +1 more source

An extension of the Hartshorne theorem on the characterization of cofinite complexes (Researches on theory of isometries and preserver problems from a various point of view) [PDF]

, 2019
This report is the announcement of the result on the characterization of cofinite complexes (the first one is in the talk at the RIMS conferencet). Let A be a homomorphic image of a Gorenstein ring of finite Krull dimension, J an ideal of A, and N^{cdot}
Kawasaki, Ken-ichiroh
core  

Red Guide Paper 42: Managing a Module Part 1: Delivering a Module [PDF]

, 2008
This revised guide covers various aspects of the process for developing a new module and provides an overview of the general principles of module ...
Smailes, Joanne, Thompson, Jamie, Turnock, Chris   +2 more
core  

Cn-cofinite twisted modules for C2-cofinite vertex operator algebras

Journal of Algebra
Given a vertex operator algebra $ V $ with a general automorphism $ g $ of $ V $, we introduce a notion of $ C_n $-cofiniteness for weak $ g $-twisted $ V $-modules. When $ V $ is $ C_2 $-cofinite and of CFT type, we show that all finitely-generated weak $ g $-twisted $ V $-modules are $ C_n $-cofinite for all $ n \in \mathbb{Z}_{>0} $.
openaire   +2 more sources