‎Let $R$ be a Krasner hyperring and $M$ be an $R$- hypermodule. Let $psi: S^{h}(M)rightarrow S^{h}(M)cup {emptyset}$ be a function, where $S^{h}(M)$ denote the set of all subhypermodules of $M$.  In the first part of this ...

The $Gamma$-semihyperring is  a generalization of the concepts of a semiring, a semihyperring and a $Gamma$-semiring. In this paper, the notions of completely prime ideals and prime radicals for $Gamma$-semihyperring are ...

Let $M$ be a module over a commutative ring $R$, $Z_{*}(M)$ be its set of weak zero-divisor elements, andif $min M$, then let $I_m=(Rm:_R M)={rin R : rMsubseteq Rm}$. The annihilator graph of $M$ is the (undirected) ...

Let $R$ be a commutative ring with identity and let $M$ be a unitary $R$-module. In this paper, among various results, we prove that if $M$ is a cancellation $R$-module and $L$ is a nonzero simple submodule of $M$, then ...

K"ahler-Poisson algebras were introduced as algebraic analogues of function algebras on K"ahler manifolds, and it turns out that one can develop geometry for these algebras in a purely algebraic way. A K"ahler-Poisson ...

In this paper, we introduce a generalized form of the class of topological rings, namely -topological rings by using -open sets which itself is a generalized form of open sets. Translation of open(closed) sets and ...

In this paper, the notions of $n$-fold obstinate and $n$-fold fantastic (pre)filterin $EQ$-algebras are introduced and the relationship among $n$-fold obstinate, maximal, $n$-fold fantastic, and $n$-fold (positive) implicative ...

Let $R$ be a commutative ring and let $Bbb A(R)$ bethe set of all ideals of $R$ with nonzero annihilator.The annihilator-ideal graph of $R$ is defined as the graph${A_I}(R)$ with the vertex set $Bbb A(R)^*=Bbb A(R)setminus{0}$ ...

This paper is a continuation of study rings relative to rightideal, where we study the concepts of regular and local ringsrelative to right ideal. We give some relations between $P-$local($P-$regular) and local (regular) ...