In this paper, we define and consider $G$-set on$Gamma$-semihypergroups and we obtain relations between $G$-setsand their associate $widehat{G}$-sets where $G$ is a$Gamma$-semihypergroup and $widehat{G}$ is an associated ...

This paper introduces and studies the notion of Property ($mathcal A$) of a ring $R$ or an $R$-module $M$ along an ideal $I$ of $R$. For instance, any module $M$ over $R$ satisfying the Property ($mathcal A$) do satisfy ...

The determining number of a graph $G = (V,E)$ is the minimum cardinality of a set $Ssubseteq V$ such that pointwise stabilizer of $S$ under the action of $Aut(G)$ is trivial. In this paper, we compute the determining number ...

In this paper, we prove that a nonzero square closed $*$-Lie ideal $U$ of a $*$-prime ring $Re$ of Char $Re$ $neq$ $(2^{n}-2)$ is central, if one of the following holds: $(i)delta(x)delta(y)mp xcirc yin Z(Re),$ ...