Volume 10 (2022-2023)
Volume 9 (2021-2022)
Volume 8 (2020-2021)
Volume 7 (2019-2020)
Volume 6 (2018-2019)
Volume 5 (2017-2018)
Volume 4 (2016-2017)
Volume 3 (2015-2016)
Volume 2 (2014-2015)
Volume 1 (2013-2014)
Number of Articles: 12
ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES
Volume 8, Issue 2 , January 2021, Pages 141-154
Abstract
The purpose of this paper is to introduce some new classes of rings and modules that are closely related to the classes of almost Dedekind domains and almost Dedekind modules. We introduce the concepts of $\phi$-almost Dedekind rings and $\Phi$-almost Dedekind modules and study some properties of this ... Read MoreTOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES
Volume 8, Issue 2 , January 2021, Pages 155-164
Abstract
Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then there exists an ideal a of R such ... Read MoreSOME CLASSIFICATIONS OF MONOIDS BY VARIOUS NOTIONS OF INJECTIVITY OF ACTS
Volume 8, Issue 2 , January 2021, Pages 165-180
Abstract
This paper is a continuation of recent researches concerning generalization of injectivity of acts over moniods, namely, C-injectivity and InD-injectivity. We introduce new kinds of injectivity, such as, LC-injectivity and CQ-injectivity. Classi cations of monoids by properties of these kinds of injective ... Read MoreCONTINUOUS FUNCTIONS ON LG-SPACES
Volume 8, Issue 2 , January 2021, Pages 181-200
Abstract
By an $l$-generalized topological space, briefly an $LG$-space, we mean the ordered pair $(F,\tau)$ in which $F$ is a frame and $\tau$ is a subframe of $F$. This notion has been first introduced by A.R. Aliabad and A. Sheykhmiri in [$LG$-topology, { Bull. Iran. Math. Soc}., 41 (1), (2015), 239-258]. ... Read MoreA NOTE ON BALANCED BIG COHEN–MACAULAY MODULES
Volume 8, Issue 2 , January 2021, Pages 201-207
Abstract
Let $(R, m, k)$ be a Cohen-Macaulay complete local ring with the canonical module $\omega$. The aim of this note, is to show that, under mild assumptions, the class of balanced big Cohen--Macaulay modules coincides with the one consisting of those modules admitting a right resolution by modules in $ ... Read MoreTHE COST NUMBER AND THE DETERMINING NUMBER OF A GRAPH
Volume 8, Issue 2 , January 2021, Pages 209-217
Abstract
The distinguishing number $D(G)$ of a graph $G$ is the least integer $d$ such that $G$ has an vertex labeling with $d$ labels that is preserved only by a trivial automorphism. The minimum size of a label class in such a labeling of $G$ with $D(G) = d$ is called the cost of $d$-distinguishing $G$ and ... Read MoreON REGULAR PRIME INJECTIVITY OF S-POSETS
Volume 8, Issue 2 , January 2021, Pages 219-230
Abstract
In this paper, we define the notion of regular prime monomorphism for $S$-posets over a pomonoid $S$ and investigate some categorical properties including products, coproducts and pullbacks. We study $\mathcal{M}$-injectivity in the category of $S$-posets where $\mathcal{M}$ is the class of regular prime ... Read MoreNEW BOUNDS AND EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS
Volume 8, Issue 2 , January 2021, Pages 231-250
Abstract
The distance signless Laplacian spectral radius of a connected graph $G$ is the largest eigenvalue of the distance signless Laplacian matrix of $G$, defined as $D^{Q}(G)=Tr(G)+D(G)$, where $D(G)$ is the distance matrix of $G$ and $Tr(G)$ is the diagonal matrix of vertex transmissions of $G$. In this ... Read MoreHOOPS WITH QUASI-VALUATION MAPS
Volume 8, Issue 2 , January 2021, Pages 251-268
Abstract
Based on subalgebras and filters in hoops, the notions of S-quasi-valuation maps and F-quasi-valuation maps are introduced, and related properties are investigated. Relations between S-quasi-valuation maps and F-quasi-valuation maps are introduced. Using F-quasi-valuation map, a (pseudo) metric space ... Read MoreLINKAGE OF IDEALS OVER A MODULE
Volume 8, Issue 2 , January 2021, Pages 269-281
Abstract
Inspired by the works in linkage theory of ideals, we define the concept of linkage of ideals over a module. Several known theorems in linkage theory are improved or recovered. Specially, we make some extensions and generalizations of a basic result of Peskine and Szpiro \cite[Proposition 1.3]{PS}, namely ... Read More4-CYCLE FREE APM LDPC CODES WITH AN EXPLICIT CONSTRUCTION
Volume 8, Issue 2 , January 2021, Pages 283-289
Abstract
Recently, a class of low-density parity-check codes based on affine permutation matrices, called APM-LDPC codes, have been considered which have some advantages than quasi-cyclic (QC) LDPC codes in terms of minimum-distance, cycle distribution, and error-rate performance. Moreover, some explicit constructions ... Read MoreON THE CLASS OF ARRAY-BASED APM-LDPC CODES
Volume 8, Issue 2 , January 2021, Pages 291-301