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
ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES
Volume 9, Issue 2 , January 2022, Pages 175-192
Abstract
Let $M(X, \mathcal{A}, \mu)$ be the ring of real-valued measurable functionson a measurable space $(X, \mathcal{A})$ with measure $\mu$.In this paper, we study the zero-divisor graph of $M(X, \mathcal{A}, \mu)$,denoted by $\Gamma(M(X, \mathcal{A}, \mu))$.We give the relationships among graph properties ... Read MoreDISTANCE LAPLACIAN SPECTRUM OF THE COMMUTING GRAPH OF FINITE CA-GROUPS
Volume 9, Issue 2 , January 2022, Pages 193-201
Abstract
The commuting graph of a finite group $G$, $\mathcal{C}(G)$, is a simple graph with vertex set $G$ in which two vertices $x$ and $y$ are adjacent if and only if $xy = yx$. The aim of this paper is to compute the distance Laplacian spectrum and the distance Laplacian energy of the commuting graph of $CA$-groups. Read MoreANNIHILATING-IDEAL GRAPH OF C(X)
Volume 9, Issue 2 , January 2022, Pages 203-217
Abstract
In this article the annihilating-ideal graph of the ring C(X) is studied. We have tried to associate the graph properties of AG(X), the ring properties of C(X) and the topological properties of X. It is shown that X has an isolated point if and only if R is a direct summand of C(X) and this happens if ... Read MoreTOPICS ON CONTINUOUS INVERSE ALGEBRAS
Volume 9, Issue 2 , January 2022, Pages 219-227
Abstract
In this paper, we first provide some counterexamples and derive some new results concerning the usual and singular spec- trum of an element in continuous inverse algebras. Then we continue our investigation about the characterizations of multiplicative linear maps and their related results in these algebras. Read More(7,K) GIRTH-8 QC-LDPC CODES WITH AN EXPLICIT CONSTRUCTION
Volume 9, Issue 2 , January 2022, Pages 229-239
Abstract
Recently, for each row weight $K$ and column-weight $J$, $3\le J< K$, several classes of $(J,K)$ quasi-cyclic (QC) low-density parity-check (LDPC) codes with girth 8 have been constructed explicitly such that their corresponding lower-bounds on the size of circulant permutation matrices (CPMs) have ... Read MoreGeometric Hypergroups
Volume 9, Issue 2 , January 2022, Pages 241-257
Abstract
The aim of this paper is to extend the notion of geometric groups to geometric hypergroups and to investigate the interaction between algebraic and geometric properties of hypergroups. In this regard, we first define a metric structure on hypergroups via word metric and present some examples on it by ... Read MoreSOME INEQUALITIES FOR POLYNILPOTENT MULTIPLIER OF POWERFULL p-GROUPS
Volume 9, Issue 2 , January 2022, Pages 259-265
Abstract
In this paper we present some inequalities for the order, the exponent, and the number of generators of the polynilpotent multiplier, the Baer invariant with respect to the variety of polynilpotent groups of class row (c_1; · · · ; c_t) of a powerful p-group.Our results extend some ... Read MoreON SOME TOTAL GRAPHS ON FINITE RINGS
Volume 9, Issue 2 , January 2022, Pages 267-280
Abstract
We give a decomposition of total graphs on some finite commutative rings R = Zm, where the set of zero-divisors of R is not an ideal. In particular, we study the total graph T((Z2npm))where p is a prime and m and n are positive integers and investigate some graph theoretical properties with some ... Read MoreA METRIC-LIKE TOPOLOGY ON BL-ALGEBRAS
Volume 9, Issue 2 , January 2022, Pages 281-298
Abstract
This paper is devoted to introduce a topology on BL-algebras, makes them semitopological algebras. For any BL-algebra $\mathcal{L}=(L, \wedge, \vee, *, \too , 0, 1)$, the introduced topology is defined by a distance-like function between elements of $L$ which is defined by $a \leftrightarrow b=(a\too ... Read MoreON DERIVATIONS OF PSEUDO-BL ALGEBRA
Volume 9, Issue 2 , January 2022, Pages 299-322
Abstract
Pseudo-BL algebras are a natural generalization of BL-algebras and of pseudo-MV algebras.In this paper the notions of five different types of derivations on a \pbl\ as generalizations of derivations of a BL-algebra are introduced. Moreover, as an extension of derivations of a \pbl , the notions of $(\varphi ... Read MoreFINITENESS PROPERTIES OF FORMAL LOCAL COHOMOLOGY MODULES
Volume 9, Issue 2 , January 2022, Pages 323-333
Abstract
In this paper, we investigate some properties of top formal localcohomology FdimM=aMa (M). Among other things, we determine AttR(FdimM=aMa (M)),in the case that FdimM=aMa (M) is an artinian module. Also we show that FdimM=aMa (M)is artinian if and only if it is minimax.. Read MoreON THE m_c-TOPOLOGY ON THE FUNCTIONALLY COUNTABLE SUBALGEBRA OF C(X)
Volume 9, Issue 2 , January 2022, Pages 335-345