‎Let $R$ be a commutative ring with identity $1\neq 0$ and $M$ a non-zero unital $R$-module‎. ‎In this paper‎, ‎we present the concept of fully $I$-submodules of $M$ such that $I$ is an ideal of $R$ which is a generalization ...

‎In this paper‎, ‎a new kind of graph is introduced and investigated‎. ‎The minimal ideal graph for a ring $R$ with unity is an undirected graph whose vertex set contains all non-trivial ideals of $R$‎. ‎We denote the graph ...

‎Denote $[n]$ to be a finite $n$ chain $\{1,2,\ldots,n\}$‎. ‎Let $\mathcal{CI}_{n}$ be the semigroup of partial injective contractions on $[n]$‎. ‎Denote $\mathcal{ODDP}_{n}‎, ‎\mathcal{ODCI}_{n}$ and $\mathcal{OCI}_{n}$ ...

In this paper, we embark on an in-depth exploration of the profound connections between congruences, ideals, and homomorphisms in Hilbert algebras. Our research unveils a groundbreaking theorem that seamlessly integrates ...

Let‎ ‎$G =(V_G‎ , ‎E_G)$‎ ‎be a graph and let $I$ be a finite set of size $m\geq 1$‎. ‎A mapping $T:V_G \rightarrow I$‎ ‎is called a perfect $m$-coloring with a parameter matrix $A = (a_{ij})_{i,j\in I }$‎ ‎of $G$ if it ...

The order sum graph associated with the group $G$, denoted by $\Gamma_{os}$, is a graph with vertex set consisting of elements of $G$ and two vertices say $a$,$b$ $\in \Gamma_{os}$ are adjacent if $o(a)+o(b)>o(G)$, where ...

Let $R$ be a commutative ring with identity, $M$ be a unital $R$-module and let $L$ be a complete Heyting algebra. In this paper, among results on colon structures of $L$-neutrosophic submodules and $L$-neutrosophic ideals, ...

‎Let $\mathcal{A}$ be a Banach algebra with Jacobson radical $Rad_{\mathcal{A}}$ and $d$ a continuous derivation of $\mathcal{A}$‎. ‎The purpose of this article is to investigate some sufficient conditions under which ...

For unitary modules over commutative rings with non-zero identity, Question 3.28 in [Bull. Malays. Math. Sci. Soc. 38(1) (2015) 303] asks if the maximal spectrum of a max-injective module is a max-spectral topological space ...

A set $D$ of vertices in an isolate-free graph $G$ is a semitotal dominating set of $G$ if $D$ is a dominating set of $G$ and every vertex in $D$ is within distance $2$ from another vertex of $D$.The semitotal domination ...

Let J(R) denote the Jacobson radical of a commutative ring. In Khashan the notion of a J-ideal was introduced and studied. In khashanandece Khashan et al. introduced the concept of weakly J-ideals as a new generalization ...

Let R be a commutative ring with identity and M be an R-module.Let Ψ : S(M) →S(M) ∪ ∅ be a function, where S(M) denotes the set ofall submodules of M. The main purpose of this paper is to introduce andinvestigate the notion ...

In this paper, notions of ∈t-set and Qt-set of a fuzzy set f in aGE-algebra X are introduced and defined fuzzy GE-algebra in terms of ∈t-set. We provided conditions for the ∈t-set and Qt-set of a fuzzy set f to be ...