In the paper we generalize a fibre criterion for a polynomial f to belong to a primary ideal I in the polynomial ring K[X, Y ]. We also investigate the general case where the ideal I is not primary. Let {X1, . . . , Xn} be any set of variables. We shall write K[X] instead of K[X1, . . . , Xn]. If f ∈ K[X,Y ], where X and Y are sets of variables, K is an algebraically closed field, Y = {Y1, . . ...

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...

This article brings out the improved thought of college admission system reform based on parallel will: College Admission Mode of Multiple Choices Based on Internet,CAMMCBI。We use the absorbing Markov analysis method to establish the student scores and college level sequence model of absorbing Markov chain, analysis CAMMC BI admission mechanism problem from the angle of dynamic. Reform of Colle...

We present a theoretical study on how dynamic radiation force of acoustic waves actuates on absorbing spheres. We consider the radiation force is generated by the difference-frequency component of a bichromatic plane wave in a lossless fluid. We analyze the spectrum of the dynamic radiation force for polymethymethacrylate (lucite) and polyethylene spheres. Results reveal that absorption cause t...