Algebraic Structures and Their Applications
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ارسال های اخیر
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On pexider type of Hilbert C$^* $-module higher derivations
(Yazd University, 2025-05-01)In this paper, we introduce the concept of pexider Hilbert C$ ^* $-module higher $ \{A_n,B_n,D_n\} $-derivations. Specifically, we focus on a Hilbert C$ ^* $-module $ \mathcal{M} $ and provide a comprehensive characterization ...
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$\mathcal{N}$-ideals of almost distributive lattices
(Yazd University, 2025-05-01)In this article, we present the concept of an $\mathcal{N}$-ideal within the structure of an Almost Distributive Lattice (ADL). We demonstrate that the collection of $\mathcal{N}$-ideals constitutes a distributive lattice, ...
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Double derivations of $n$-Hom-Lie color algebras
(Yazd University, 2025-05-01)This paper aims to study the double derivation algebra ${\mathcal D}(\mathcal{L})$ of $n$-Hom-Lie color algebra $\mathcal{L}$ and describe the relation between ${\mathcal D}(\mathcal{L})$ and the usual derivation Hom-Lie ...
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On automorphisms of a class of normal transformation semigroups
(Yazd University, 2025-05-01)In this paper, we are interested in the (as yet) unsolved problem of determining all subsemigroups of $\mathcal{T}(X)$ in which every automorphism is inner. We show that the semigroup of full transformations with restriction ...
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Symbolic Rees algebra and reduction of modules
(Yazd University, 2025-05-01)In this paper, we study the symbolic Rees algebras of modules by using the theory of reductions of modules. We extend several results of the symbolic Rees algebra of ideals to the symbolic Rees algebra of modules and prove ...
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The strongly irreducible dimension of rings vs. the derived dimension of the space of strongly irreducible ideals with V-topology
(Yazd University, 2025-05-01)An ideal $I$ of a ring $R$ is called strongly irreducible ideal (SI-ideal, for short), whenever the inclusion $J\cap K\subseteq I$, implies that $J\subseteq I$ or $K\subseteq I$. Let $X={\rm SSpec}(R)$ be the set of all ...
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Semi strong outer mod sum Cayley graphs
(Yazd University, 2024-08-01)Let $A$ be an abelian group generated by a $2$-element set $S=\{a, b: a^m=b^n=e, m,n\ge 2\}$, where $e$ is the identity element of $A$. Let $\Gamma_{m,n}=Cay_g(A, S)$ be the undirected Cayley graph of $A$ associated with ...
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Connections between GE algebras and pre-Hilbert algebras
(Yazd University, 2024-08-01)GE algebras (generalized exchange algebras) and pre-Hilbert algebras are a generalization of well-known Hilbert algebras. In the paper, connections between these algebras are studied. In particular, it is proven that pi-BE ...
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On the maximal Randić energy of trees with given diameter
(Yazd University, 2024-08-01)For given integers $n,d$ with $n\geq 5$ and $4\leq d \leq n-1$, let $T^{n}_d$ be the family of all trees of order $n$ and diameter $d$. In this paper, we study trees $T\in T^{n}_d$ with maximal Randić energy. We prove that ...
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Locally artinian supplemented modules
(Yazd University, 2024-08-01)In this paper, we introduce notions of RLA-local modules and locally artinian supplemented modules which are proper generalizations as notions of strongly local modules and ss-supplemented modules, respectively and we study ...
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Edge geodetic sequence in graphs
(Yazd University, 2024-08-01)In this paper, we introduced the concept of edge geodetic sequences in graph and its generating function. Some general properties satisfied by this concept are studied. It is shown that for every generating function$$ ...
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Non-commutative hypergroupoid obtained from simple graphs
(Yazd University, 2024-08-01)The purpose of this paper is the study of non-weak commutative hypergroups associated with hypergraphs. In this regards, we construct a hyperoperation on the set of vertices of hypergraph and obtain some results and ...
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On the subspace distance of the subspace codes
(Yazd University, 2025-02-01)Let $\mathcal{P}_q(n)$ be the set of all subspaces in the vector space $\mathbb{F}_q^n$. There is a subspace distance $d_S(U,V)$ between any two subspaces $U$ and $V$. A subspace code is also a subset of $\mathcal{P}_q(n)$. ...
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Meet-nonessential graph of an Artinian lattice
(Yazd University, 2025-02-01)Let $L$ be a lattice with $1$. The meet-nonessential graph $\mathbb{MG} (L)$ of $L$ is a graph whose vertices are all nonessential filters of $L$ and two distinct filters $F$ and $G$ are adjacent if and only if $F \wedge ...
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Spectrum and energies of commuting conjugacy class graph of a finite group
(Yazd University, 2025-02-01)In this paper we compute spectrum, Laplacian spectrum, signless Laplacian spectrum and their corresponding energies of commuting conjugacy class graph of the group $G(p, m, n) = \langle x, y : x^{p^m} = y^{p^n} = [x, y]^p ...
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Special regular clean rings
(Yazd University, 2025-02-01)In this paper we introduce the concepts of special regular clean elements and regular clean decomposition in a ring R. These concepts lead us to the notion of special regular clean ring. We prove that for a special regular ...
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On commuting automorphisms and commutator polygroups
(Yazd University, 2025-02-01)We introduce the notions of commuting automorphism and commutator polygroups. The basic question that can be arose about the set of all commuting automorphisms is that for the assumed polygroup $ ( P, \cdot )$, under what ...
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On intersection minimal ideal graph of a ring
(Yazd University, 2025-02-01)For a ring $R$, the intersection minimal ideal graph, denoted by $ \wedge(R) $, is a simple undirected graph whose vertices are proper non-zero (right) ideals of $R$ and any two distinct vertices $I_{1}$ and $I_{2}$ are ...
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Some results on the sum-annihilating essential submodule graph
(Yazd University, 2024-11-01)Consider a commutative ring $R$ with a non-zero identity $1\neq 0$, and let $M$ be a non-zero unitary module over $R$. In this document, our goal is to present the sum-annihilating essential submodule graph $\mathbb{AE}^ ...
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Studying some semisimple modules via hypergraphs
(Yazd University, 2024-11-01)Recent studies have shown that hypergraphs are useful in solving real-life problems. Hypergraphs have been successfully applied in various fields. Inspiring by the importance, we shall introduce a new hypergraph assigned ...
