Algebraic Structures and Their Applications
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Some results on the strongly annihilating submodule graph of a module
(Yazd University, 20240201)Let M be a module over a commutative ring R. We continue our study of strongly annihilating submodule graph SAG(M) introduced in [9]. In addition to providing the more properties of this graph, we introduce the subgraph ...

On higher order $z$ideals and $z^\circ$ideals in commutative rings
(Yazd University, 20240201)A ring $R$ is called radically $z$covered (resp. radically $z^\circ$covered) if every $\sqrt z$ideal (resp. $\sqrt {z^\circ}$ideal) in $R$ is a higher order $z$ideal (resp. $z^\circ$ideal). In this article we show ...

Hybrid ideals on a lattice
(Yazd University, 20240201)The fuzzy set is a fantastic tool for expressing hesitancy and dealing with uncertainty in realworld circumstances. Soft set theory has recently been developed to deal with practical problems. The soft and fuzzy sets were ...

On the genus of annihilator intersection graph of commutative rings
(Yazd University, 20240201)Let $R$ be a commutative ring with unity and $A(R)$ be the set of annihilatingideals of $R$. The annihilator intersection graph of $R$, represented by $AIG(R)$, is an undirected graph with $A(R)^*$ as the vertex set and ...

Local automorphisms of $n$dimensional naturally graded quasifiliform Leibniz algebra of type I
(Yazd University, 20240201)The notions of a local automorphism for Lie algebras are defined as similar to the associative case. Every automorphism of a Lie algebra $\mathcal{L}$ is a local automorphism. For a given Lie algebra $\mathcal{L}$, the ...

A class of almost uniserial rings
(Yazd University, 20240201)An $R$module $M$ is called almost uniserial if any two nonisomorphic submodules of $M$ are comparable. A ring $R$ is an almost left uniserial ring if $_R R$ is almost uniserial. In this paper, we introduce a class of ...

Rightleft induced hyperlattices and the genetic code hyperlattices
(Yazd University, 20240501)In this paper first we introduce right(resp. left) induced hyperlattices and investigate some of their properties. Especially a characterization of the smallest strongly regular relation for the class of distributive ...

On the Ree groups $^2{}G_2(q)$ characterized by a size of a conjugacy class
(Yazd University, 20240501)One of the important problem in finite groups theory is group characterization by specific property. Properties, such as element order, the set of element with the same order, etc. In this paper, we prove that Ree group ...

Semihypergroups that every hyperproduct only contains some of the factors
(Yazd University, 20240501)Breakable semihypergroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. In this paper, we introduce a class of semihypergroups, in which every hyperproduct of $n$ elements is equal ...

A study on constacyclic codes over the ring $\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$
(Yazd University, 20240501)This paper studies $\lambda$constacyclic codes and skew $\lambda$constacyclic codes over the finite commutative nonchain ring $R=\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$ with $u^3=0$ for $\lambda= (1+2u+2u^2)$ and ...

Modular group algebra with upper Lie Nilpotency index $11p9$
(Yazd University, 20240501)Let $KG$ be the modular group algebra of a group $G$ over a field $K$ of characteristic $p>0$. Recently, we have seen the classification of group algebras $KG$ with upper Lie nilpotency index $t^{L}(KG)$ up to $10p8$. In ...

The duals of annihilator conditions for modules
(Yazd University, 20240501)Let $R$ be a commutative ring with identity and let $M$ be an $R$module. The purpose of this paper is to introduce and investigate the submodules of an $R$module $M$ which satisfy the dual of Property $\mathcal{A}$, ...

An upper bound on the distinguishing index of graphs with minimum degree at least two
(Yazd University, 20200401)The distinguishing index of a simple graph $G$, denoted by $D'(G)$, is the least number of labels in an edge labeling of $G$ not preserved by any nontrivial automorphism. We prove that for a connected graph $G$ with maximum ...

The effect of singularity on a type of supplemented modules
(Yazd University, 20230801)Let $R$ be a ring, $M$ a right $R$module, and $S = End_R(M)$ the ring of all $R$Endomorphisms of $M.$ We say that $M$ is Endomorphism $\delta$$H$supplemented (briefly, $E$$\delta$$H$supplemented) provided that for ...

Commutative TrueFalse ideals in BCI/BCKalgebras
(Yazd University, 20230801)The notion of a (limited) commutative $T\&F$ideal in BCKalgebras and BCIalgebras is introduced, and their properties are investigated. A relationship between a $T\&F$ideal and a commutative $T\&F$ideal in BCKalgebras ...

Characterization of zerodimensional rings such that the clique number of their annihilatingideal graphs is at most four
(Yazd University, 20230801)The rings considered in this article are commutative with identity which are not integral domains. Let $R$ be a ring. An ideal $I$ of $R$ is said to be an annihilating ideal of $R$ if there exists $r\in R\backslash \{0\}$ ...

Modal operators on $L$algebras
(Yazd University, 20230801)The main goal of this paper is to introduce analogously modal operators on $L$algebras and study their properties. To begin with, we introduce the notion of modal operators on $L$algebras and investigate some important ...

Characterization of ${\rm Alt}(5) \times \mathbb{Z}_p$, where $p \in \{ 17, 23\}$, by their product element orders
(Yazd University, 20230801)We denote the integer $ \prod_{g \in G} o(g) $ by $\psi^{\prime}(G)$ where $o(g)$ denotes the order of $g \in G$ and $G$ is a finite group. In [14], it was proved that some finite simple group can be uniquely determined ...

Results on generalized derivations in prime rings
(Yazd University, 20230801)A prime ring ${S}$ with the centre ${Z}$ and generalised derivations that meet certain algebraic identities is considered. Let's assume that $\Psi$ and $\Phi$ are two generalised derivations associated with $\psi$ and ...

Sheffer stroke R$_{0}$algebras
(Yazd University, 20230801)The main objective of this study is to introduce Sheffer stroke R$_{0}$algebra (for short, SR$_{0}$ algebra). Then it is stated that the axiom system of a Sheffer stroke R$_{0}$algebra is independent. It is indicated ...