In this paper, the class of weakly left C-wrpp semigroups which includes the class of weakly left C-rpp semigroups as a subclass is introduced. To particularly show that the spined product of a left C-wrpp semigroup and a right normal band which is a weakly left C-wrpp semifroup by virtue of left C-full Ehremann cyber groups recently obtained by authors Li-Shum, results obtained by Tang and Du-...

Let $D$ be a division ring with center $F$, and $G$ subnormal or quasinormal subgroup of $D^*$. We show that if is locally solvable, then contained in $F$.

The intersection graph of quasinormal subgroups a group $G$, denoted by $\Gamma_{\mathrm{q}}(G)$, is defined as follows: the vertex set consists all nontrivial, proper and two distinct vertices $H$ $K$ are adjacent if $H\cap K$ nontrivial. In this paper, we show that when $G$ an arbitrary nonsimple group, diameter $\Gamma_{\mathrm{q}}(G)$ in $\{0,1,2,\infty\}$. Besides, general skew linear grou...