The goal of this paper is to give a definition generalization fuzzy prime $\Gamma $-ideals in $-rings by introducing 2-absorbing and weakly completely commutative their properties. Furthermore, we diagram which transition between definitions $-ring. Finally, introduce quotient $-ring $R$ induced the $-ideal $2$-absorbing

Let G be a group (monoid) with identity e and R commutative Krasner hyperring. In this paper, we introduce the concepts of graded absorbing hyperideals hyperring such as, 2-absorbing hyperideals, n-absorbing subhypermodules. Some basic properties these structures characterizations homogeneous components are proved.

We show the existence of stationary limiting average "-equilibria (" > 0) for two-person recursive repeated games with absorbing states. These are stochastic games where all states but one are absorbing, and in the non-absorbing state all payoos are equal to zero. A state is called absorbing, if the probability of a transition to any other state is zero for all available pairs of actions. For t...

Multi-walled carbon nanotube (MWCNT)/Portland cement (PC) composites have been prepared to evaluate their electromagnetic wave absorbing properties. The effects of MWCNTs content and sample thickness were discussed in the frequency ranges of 2–18 GHz. Results show that the absorbing properties of cement-based composites are affected by the content of MWCNT and the thickness of the samples. When...

in this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. weobserve that over a commutative ring $r$, $bbb{ag}_*(_rm)$ isconnected and diam$bbb{ag}_*(_rm)leq 3$. moreover, if $bbb{ag}_*(_rm)$ contains a cycle, then $mbox{gr}bbb{ag}_*(_rm)leq 4$. also for an $r$-module $m$ with$bbb{a}_*(m)neq s(m)setminus {0}$, $...