Journal of Algebraic Systems
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ارسال های اخیر
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A NOTE ON NONLINEAR MIXED ∗-JORDAN TYPE DERIVATIONS ON ∗-ALGEBRAS
(Shahrood University of Technology, 2025-04-01)Let S be a ∗-algebra containing the unity and a nontrivial projection. In the present paper, we showthat under certain restrictions if a map Ψ : S → S satisfies Ψ(L ⋄ N • D) = Ψ(L) ⋄ N • D + L ⋄Ψ(N) • D + L ⋄ N • Ψ(D) for ...
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ON THE COMINIMAXNESS OF LOCAL COHOMOLOGY MODULES
(Shahrood University of Technology, 2025-04-01)Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Hi I (M) are I-cominimax, for all finitely generated R-modules M and all i ∈ N0, if the R-modules Hi I (R) are I-cofinite with dimension ...
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ON SKEW GENERALIZED TRIANGULAR MATRIX RINGS
(Shahrood University of Technology, 2025-04-01)In this article, we study skew monoid rings in which the monoid used in their structure is a quotient of a free monoid. We study annihilator conditions of them and describe conditions for transferring some properties from ...
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APPLICATIONS OF ROUGH SOFT TO EXTENSIONS SEMIHYPERGROUPS INDUCED BY OPERATORS AND CORRESPONDING DECISION-MAKING METHODS
(Shahrood University of Technology, 2025-04-01)In this paper, we apply a rough soft set to a spe-cial algebraic hyperstructure, and give the concept of a rough soft semihypergroup. We propose the notion of lower and upper approximations concerning a special semihypergroup ...
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FAULT-TOLERANT METRIC DIMENSION OF ANNIHILATOR GRAPHS OF COMMUTATIVE RINGS
(Shahrood University of Technology, 2025-04-01)Let R be a commutative ring with identity. The annihilator graph AG (R) is a simple graph with vertex set as the set of all non-zero zero-divisors of R, and two distinct vertices a and b are adjacent if and only if annR ...
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SOME OPERATOR INEQUALITIES IN HILBERT $C^{*}$MODULES VIA THE OPERATOR PERSPECTIVE
(Shahrood University of Technology, 2025-04-01)Some Hilbert $C^*$-module versions of H$\ddot{o}$lder-McCarthy and H$\ddot{o}$lder type inequalities and their complementary on a Hilbert $C^*$-module are obtained by Seo \cite{seo-2014}. The purpose of this paper is to ...
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SOME ALGEBRAIC AND MEASURE THEORETIC PROPERTIES OF THE RINGS OF MEASURABLE FUNCTIONS
(Shahrood University of Technology, 2025-04-01)Let $M(X, \mathcal{A}, \mu)$ be the ring of real-valued measurable functions on a measure space $(X, \mathcal{A}, \mu)$. In this paper, we show that the maximal ideals of $M(X, \mathcal{A}, \mu)$ are associated with the ...
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SOME IDENTITIES INVOLVING ENDOMORPHISMS OF PRIME RINGS
(Shahrood University of Technology, 2025-04-01)In this paper we will extend some results on the commutativity of quotient rings proved in [1] and [11]. However, we will consider endomorphisms instead of derivations and generalized derivations, which is sufficient to ...
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A SURVEY ON χ-MODULE CONNES AMENABILITY OF SEMIGROUP ALGEBRAS
(Shahrood University of Technology, 2025-04-01)We shall study the χ-module Connes amenability of a semigroup algebra l^1(S),where χ is a bounded module homomorphism from l^1(S) to l^1(S) that is w^∗-continuous and S is an inverse weakly cancellative semigroup with ...
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ON THE FINITENESS OF LOCAL HOMOLOGY MODULES
(Shahrood University of Technology, 2025-04-01)Let $R$ be a commutative Noetherian ring and $\mathfrak{a}$ be an ideal of $R$. Suppose $M$ is a finitely generated $R$-module and $N$ is an Artinian $R$-module. We define the concept of filter coregular sequence to determine ...
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(f, g)-DERIVATIONS IN RESIDUATED LATTICES
(Shahrood University of Technology, 2025-04-01)In this paper, we present and examine the characteristics of (f, g)-derivations for a residuated lattice. Some relationships between (f, g)-derivationand isotone, contractive and ideal (f, g)-derivations are given. The set ...
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FIXED POINTS AND CUT-HOMOMORPHISMS GENERATED BY ACTIONS OF A BE-ALGEBRA ON ITS SUBALGEBRA
(Shahrood University of Technology, 2025-04-01)The concept of actions of a BE-algebra on its subalgebra is introduced and certain properties of these actions are derived. The notion of cut-homomorphisms is introduced in BE-algebras and proved that the class of all ...
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GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS
(Shahrood University of Technology, 2025-07-01)The commuting graph of a finite group G is a graph whose vertex set is the set of non-central elements of G and two distinct vertices are adjacent if they commute. In this article, we compute genus of commuting graphs of ...
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ON THE NILPOTENT DOT PRODUCT GRAPH OF A COMMUTATIVE RING
(Shahrood University of Technology, 2025-07-01)Let $\mathscr{B}$ be a commutative ring with $1\neq 0$, $1\leq m
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EQUITABLE RINGS DOMINATION IN GRAPHS
(Shahrood University of Technology, 2025-07-01)A dominating set $S$ of $G$ is an \textit{equitable dominating set} of $G$ if for every $v \in V(G) \setminus S$, there exists $u \in S$ such that $uv \in V(G)$ and $\displaystyle{\left|\deg(u) - \deg(v)\right| \leq 1.}$ ...
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A STUDY ON TRI REVERSIBLE RINGS
(Shahrood University of Technology, 2025-07-01)This article embodies a ring theoretic property which, preserves the reversibility of elements at non-zero tripotents. A ring R is defined as quasi tri reversible if any non-zero tripotent element ab of R implies ba is ...
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ON Z-SYMMETRIC MODULES
(Shahrood University of Technology, 2025-07-01)A ring $R$ is called a left $\mathcal{Z}$-symmetric ring if $ab \in \mathcal{Z}_l(R)$ implies $ba \in \mathcal{Z}_l(R)$, where $\mathcal{Z}_l(R)$ is the set of left zero-divisors. A right $\mathcal{Z}$-symmetric ring is ...
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FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS
(Shahrood University of Technology, 2025-07-01)In this research paper, we introduce and analyze the notion of fuzzy neutrosophic prime ideals (FNPIs) in a commutative BCK-algebra $\mathcal{K}$. It represents a further extension of prime ideals in the context of fuzzy ...
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MORE ON TOTAL DOMINATION POLYNOMIAL AND Dt-EQUIVALENCE CLASSES OF SOME GRAPHS
(Shahrood University of Technology, 2025-07-01)Let $G = (V, E)$ be a simple graph of order $n$. A total dominating set of $G$ is a subset $D$ of $V$ such that every vertex of $V$ is adjacent to some vertices of $D$. The total domination number of $G$ is equal to the ...
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WEAK IDEMPOTENT NIL-CLEAN RING
(Shahrood University of Technology, 2025-07-01)We introduce the concept of a weak idempotent nil-clean ring as a generalization of a weakly nil-clean ring. We give certain characterizations for weak idempotent nil-clean rings in terms of Jacobson radical and nil radical. ...
