Results 1 to 10 of about 97 (88)

Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions

Journal of Mathematics, 2023
Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A-modules, and N be the full subcategory of finite A-modules.
Reza Sazeedeh
doaj   +2 more sources

Some results on the Artinian cofinite modules [PDF]

Journal of Algebraic Systems, 2023
Summary: Let \(I\) be an ideal of a commutative Noetherian ring \(R\) and \(M\) be a non-zero Artinian \(R\)-module with support contained in \(V(I)\). In this paper it is shown that \(M\) is \(I\)-cofinite if and only if \(\operatorname{Rad}(I\widehat{R}^J+\mathrm{Ann}_{\widehat{R}^{J}}M)=J\widehat{R}^J\), where \(J:=\cap_{m\in\operatorname{Supp}\,M} \
Gholamreza Pirmohammadi
openaire   +3 more sources

Modules Cofinite and Weakly Cofinite With Respect to an Ideal [PDF]

Journal of Algebra and Its Applications, 2018
The purpose of the present paper is to continue the study of modules cofinite and weakly cofinite with respect to an ideal [Formula: see text] of a Noetherian ring [Formula: see text]. It is shown that an [Formula: see text]-module [Formula: see text] is cofinite with respect to [Formula: see text], if and only if, [Formula: see text] is finitely ...
Kamal Bahmanpour, Reza Naghipour, Monireh Sedghi   +2 more
exaly   +5 more sources

Cofinitely Goldie*-Supplemented Modules

Journal of New Theory, 2023
One of the generalizations of supplemented modules is the Goldie*-supplemented module, defined by Birkenmeier et al. using $\beta^{\ast}$ relation. In this work, we deal with the concept of the cofinitely Goldie*-supplemented modules as a version of Goldie*-supplemented module. A left $R$-module $M$ is called a cofinitely Goldie*-supplemented module if
Ayşe Tuğba Güroğlu
openaire   +4 more sources

On the Category of Cofinite Modules Which Is Abelian

Proceedings of the American Mathematical Society, 2014
Let R R denote a commutative Noetherian (not necessarily local) ring and
Kamal Bahmanpour, Reza Naghipour, Monireh Sedghi   +2 more
exaly   +3 more sources

? - cofinitely supplemented modules

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2004
Let R be a ring with identity and M a unitary right 7f-module. M is called //-cofinitely supplemented if for every cofînite submodule A of M, there exists a direct summand A 1 of M such that M = A + X holds if and only if M = A 1 + X , and M is ...
H. Çalişici, A. Pancar
openaire   +4 more sources

The Kℵ0$K^{\aleph _0}$ game: Vertex colouring

Mathematika, Volume 69, Issue 3, Page 584-599, July 2023., 2023
Abstract We investigate games played between Maker and Breaker on an infinite complete graph whose vertices are coloured with colours from a given set, each colour appearing infinitely often. The players alternately claim edges, Maker's aim being to claim all edges of a sufficiently colourful infinite complete subgraph and Breaker's aim being to ...
Nathan Bowler, Marit Emde, Florian Gut
wiley   +1 more source

Limit laws for rational continued fractions and value distribution of quantum modular forms

Proceedings of the London Mathematical Society, Volume 125, Issue 6, Page 1377-1425, December 2022., 2022
Abstract We study the limiting distributions of Birkhoff sums of a large class of cost functions (observables) evaluated along orbits, under the Gauss map, of rational numbers in (0, 1] ordered by denominators. We show convergence to a stable law in a general setting, by proving an estimate with power‐saving error term for the associated characteristic
Sandro Bettin, Sary Drappeau
wiley   +1 more source

Groups of piecewise isometric permutations of lattice points, or Finitary rearrangements of tessellations

Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1663-1724, October 2022., 2022
Abstract Through the glasses of didactic reduction, we consider a (periodic) tessellation Δ$\Delta$ of either Euclidean or hyperbolic n$n$‐space M$M$. By a piecewise isometric rearrangement of Δ$\Delta$ we mean the process of cutting M$M$ along corank‐1 tile‐faces into finitely many convex polyhedral pieces, and rearranging the pieces to a new tight ...
Robert Bieri, Heike Sach
wiley   +1 more source

ON THE COFINITENESS OF LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems
Suppose that $\ab$ is an ideal of a given commutative Noetherian ring $R$ such that the $R$-modules $H^1_{\ab}(M)$ and $H^3_{\ab}(M)$ are $\ab$-cofinite, for every finitely generated $R$-modules $M$. In this paper, it is shown that the $R$-modules $H^i_{\
Gholamreza Pirmohammadi
doaj   +1 more source