‎‎let r be a non-commutative ring with unity‎. ‎the commuting graph‎ ‎of $r$ denoted by $gamma(r)$‎, ‎is a graph with a vertex set‎ ‎$rsetminus z(r)$ and two vertices $a$ and $b$ are adjacent if and only if‎ ‎$ab=ba$‎. ‎in this paper‎, ‎we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$‎. it is shown that‎, ‎$gamma(r)$ is the disjoint ...

in islam, the world and hereafter life, plurality and unity, and inner and outer part each has its own place. islamic spirituality as an inner knowledge finds connection with islamic social idea. the purpose of which is a kind of social education and human life edification in all aspects, because, in view of the gnostics, the outer and inner worlds have longitudinal relationship.the mystics in ...

because of using principles such as principality, unity, gradation of existence and concomitance between existence and unity, along with an exhaustive understanding of ibn sina's philosophical principle about our knowledge of unity and multiplicity, mulla sadra believed new philosophical-aesthetical principles such as principality, unity and gradation of beauty, though he didn't use t...