In this paper, an atomic mobile agent group communication protocol is designed to have the following beneficial features. The protocol enables each agent to adaptively choose a small number of forwarders among its visiting nodes based on its decision. Also, it replicates paths on which messages should be transmitted to their targeting mobile agents in an effective manner. The mobile agent group...

Group-theoretical methods are used to enumerate the structures of ordered perovskites, in which 1:2 and 1:3 ordering of B and B' cations is considered in combination with the ubiquitous BX6 (or B'X6) octahedral tilting. The cation ordering on the B-cation site is described by irreducible representations of the Pm3 m space group of the cubic aristotype: Lambda1 (k = 1/3,1/3,1/3) for the cation o...

In another article we associated a dynamical system to a non-properly ordered Bratteli diagram. In this article we describe how to compute the K−group K 0 of the dynamical system in terms of the Bratteli diagram. In the case of properly ordered Bratteli diagrams this description coincides with what is already known, namely the so-called dimension group of the Bratteli diagram. The new ordered g...

We discuss about the generalized $F$-contraction mappings in partially ordered metric spaces. For this, we first introduce the notion of ordered weakly $F$-contraction mapping. We also present some fixed point results about this type of mapping in partially ordered metric spaces. Next, we introduce the notion of $acute{mathrm{C}}$iri$acute{mathrm{c}}$ type generalized ordered weakly $F$-contrac...

in this paper, we introduce the concept of semihyperring $(r,+,cdot)$ together with a suitable partial order $le$. moreover, we introduce and study hyperideals in ordered semihyperrings. simple ordered semihyperrings are defined and its characterizations are obtained. finally, we study some properties of quasi-simple and $b$-simple ordered semihyperrings.

We define and study a notion of ring of formal power series with exponents in a cyclically ordered group. Such a ring is a quotient of various subrings of classical formal power series rings. It carries a two variable valuation function. In the particular case where the cyclically ordered group is actually totally ordered, our notion of formal power series is equivalent to the classical one in ...

1. Ordered groups. Suppose T is a simply ordered set and for each 7 in T let Ry be an additive group. Consider the set H = H(T, Ry) of all vectors ( • • • , ry, ■ • • ) for which ry is in Ry and almost every r"< is zero (i.e., the set of 7's for which ry^0 is inversely well ordered). H is a group w.r.t. (with respect to) vector addition, called the T-sum of the Ry. It the Ry are ordered groups ...

In another article we associated a dynamical system to a non-properly ordered Bratteli diagram. In this article we describe how to compute the K−group K 0 of the dynamical system in terms of the Bratteli diagram. In the case of properly ordered Bratteli diagrams this description coincides with what is already known, namely the so-called dimension group of the Bratteli diagram. The new ordered g...

In this paper,  it is shown that the category of $L$-ordered fuzzifying convergence spaces contains the category of pretopological $L$-ordered fuzzifying convergence spaces as a bireflective subcategory and the latter contains the category of topological $L$-ordered fuzzifying convergence spaces as a bireflective subcategory. Also, it is proved that the category of $L$-ordered fuzzifying conver...

Given an ordered eld K we compute the natural valuation and skeleton of the ordered multiplicative group K in terms of those of the ordered additive group K We use this computation to provide necessary and su cient conditions on the value group v K and residue eld K for the L equivalence of the above mentioned groups We then apply the results to exponential elds and describe v K in that case Fi...