Results 71 to 80 of about 482,834 (118)

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

Fusion Products of Twisted Modules in Permutation Orbifolds: II

Let $V$ be a simple, rational, $C_{2}$-cofinite vertex operator algebra of CFT type, and let $k$ be a positive integer. In this paper, we determine the fusion products of twisted modules for $V^{\otimes k}$ and $G = \left\langle g \right\rangle ...
Yu, Nina, Dong, Chongying, Xu, Feng
core   +1 more source

Generalization of cofinitely supplemented modules to lattices

, 2005
Adı-Soyadı: Yasin ÇET ND LOkul: zmir Yüksek Teknoloji EnstitüsüAnabilim Dalı: MatematikProgramı: Matematik (Yüksek Lisans)Tez Ba lı ı: Dual Sonlu Tümleyen Modüllerin Kafes TeorisineGenelle tirilmesiÖZETBu tezde dual sonlu tümleyen modül kavramının kafes teorisindetanımlanması ve genelle tirilmesi ara tırılmaktadır.
openaire   +2 more sources

On finiteness of the Betti numbers of local cohomology module

Our aim in this paper is to introduce the results on the Betti numbers of local cohomology modules, which are obtained from the recent results on a category of cofinite modules (cf. [12], [14]) as a natural consequence.
KAWASAKI, Ken-ichiroh
core  

On cofinite-dimensional modules

Hokkaido Mathematical Journal, 1976
openaire   +3 more sources

Cofinitely \delta-supplemented and cofinitely \delta-semiperfect modules

International Journal of Algebra, 2007
openaire   +1 more source

$C_n$-cofinite twisted modules for $C_2$-cofinite vertex operator algebras

Tan, Daniel
core  

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Cofiniteness of Torsion Functors of a Pair of Cofinite Modules

Communications in Algebra, 2021
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Tor i R ( N , M ) are I-cofinite for all i ≥ 0 if M and N are I-cofinite R-modules and N is of dimension at most...
Kamal Bahmanpour
exaly   +2 more sources

On Modules Having Small Cofinite Irreducibles

Canadian Mathematical Bulletin, 1994
AbstractIn this paper we obtain several new characterizations of modules having small cofinite irreducibles. One of these characterizations involves a metric topology defined on the submodule lattice.
Johnson, E. W., Johnson, Johnny A., Taylor, Monty B.   +2 more
openaire   +3 more sources

A Note on Cofinite Modules

Communications in Algebra, 2016
Let R be a commutative Noetherian ring, I an ideal of R, and M an arbitrary R-module. It is shown that the R-module is finitely generated, for all i ≥ 0, if and only if the R-module is finitely generated, for all 0 ≤ i ≤ ara(I). As an immediate consequence, we prove that, if R is a Noetherian (resp.
Kamal Bahmanpour, Moharram Aghapournahr
exaly   +2 more sources