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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 +2 more
exaly +7 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 ...
Ayşe Tuğba Güroğlu
doaj +4 more sources
SOME RESULTS ON THE ARTINIAN COFINITE MODULES [PDF]
Journal of Algebraic Systems, 2023 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 $Rad(I\widehat{R}^J+Ann_{\widehat{R}^J}M)=J\widehat{R ...
Gholamreza Pirmohammadi
doaj +3 more sources
On the Category of Cofinite Modules Which Is Abelian
Proceedings of the American Mathematical Society, 2014 Let R R denote a commutative Noetherian (not necessarily local) ring and
Kamal Bahmanpour +2 more
exaly +3 more sources
FINITENESS PROPERTIES OF LOCALE COHOMOLOGY MODULES FOR (I;J)- MINIMAX MODULES [PDF]
Journal of Mahani Mathematical Research, 2018 . Let R be a commutative noetherian ring, I and J are two ideals of R. Inthis paper we introduce the concept of (I;J)- minimax R- module, and it is shown thatif M is an (I;J)- minimax R- module and t a non-negative integer such that HiI;J(M) is(I;J ...
Javad Tayyebi
doaj +1 more source
? - cofinitely supplemented modules
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2004 Let R be a ring with identity and M a unitary right 7f-module. M is called //-cofinitely supplemented if for every cofînite submodule A of M, there exists a direct summand A 1 of M such that M = A + X holds if and only if M = A 1 + X , and M is ...
H. Çalişici, A. Pancar
openaire +4 more sources
The Kℵ0$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
Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions
Journal of Mathematics, Volume 2023, Issue 1, 2023., 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. In this paper, we study N⋆X‐c‐cofinite modules with respect to the extension subcategory N⋆X when dim A/c≤2. We also study c‐cofiniteness with respect to a new dimension.
Reza Sazeedeh, Kenan Yildirim
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
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