partially $s$-embedded minimal subgroups of finite groups

suppose that $h$ is a subgroup of $g$‎, ‎then $h$ is said to be‎ ‎$s$-permutable in $g$‎, ‎if $h$ permutes with every sylow subgroup of‎ ‎$g$‎. ‎if $hp=ph$ hold for every sylow subgroup $p$ of $g$ with $(|p|‎, ‎|h|)=1$)‎, ‎then $h$ is called an $s$-semipermutable subgroup of $g$‎. ‎in this paper‎, ‎we say that $h$ is partially $s$-embedded in $g$ if‎ ‎$g$ has a normal subgroup $t$ such that $ht$ is $s$-permutable in‎ ‎$g$ and $hcap tleq h_{overline{s}g}$‎, ‎where $h_{overline{s}g}$‎ ‎is generated by all $s$-semipermutable subgroups of $g$ contained in‎ ‎$h$‎. ‎we investigate the influence of some partially $s$-embedded‎ ‎minimal subgroups on the nilpotency and supersolubility of a finite‎ ‎group $g$‎. ‎a series of known results in the literature are unified‎ ‎and generalized.‎