Journal of Hyperstructures
Volume:5 Issue: 1, Winter and Spring 2016

In this paper, the n-ary hyperstructure will be applied to some aspects of lattice theory. We introduce the concepts of general n-ary hyperstructure semilattice ( or gnh semilattice) and Gnhsubsemilattice, ideal of gnh-semilattice, gno-order, Gno-order, multiplier of type α on gnhsemilattice, F quasi invariant subset of gnh-semilattice and so on. We also study some of their related properties.

In this paper we generalize the PIT and the GPIT that can be used to study the heights of prime ideals in a general commutative Noetherian ring R and the dimension theory of such a ring and we use these generalizations to prove some useful results.

A Harmonious coloring of a graph G is a proper vertex coloring of G, in which every pair of colors appears on at most one pair of adjacent vertices and the harmonious chromatic number of graph G is the minimum number of colors needed for the harmo- nious coloring of G and it is denoted byXH(G).The purpose of this paper is to extend the double star graph [12] and to discuss harmo- nious coloring for central graph, middle graph and total graph of extended double star graph i.e. triple star graph.

In this paper we characterize all matrices of rank one over a unique factorization domain (UFD). Also we nd the R- module generated by the rows and the R-module generated by the columns of a matrix of rank one and assert some properties of them.

Abstract. The article illustrates the graphical study of geodesic motion on H3;H2R;Nil3 and Sol3 using the symbolic and graph- ical computation of MATLAB platform.

This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to elim- inate the singularity of the equation, a transform is used. The advantage of this numerical method is the representation of exact solution in reproducing kernel Hilbert space and accuracy in numer- ical computation is higher. On the other hand, by improving the traditional reproducing kernel method and the denition of the op- erator of W Hilbert space, the solutions of Wiener-Hopf equation of the second kind are obtained. The approximate solution converges uniformly and rapidly to the exact solution. Numerical examples indicate that this method is efficient for solving these equations. The validity of the method is illustrated with two examples.

In this paper, Differential Transformation Method (DTM) was studied for solving Hybrid Fuzzy Differential Equations (HFDEs).The proposed method was also illustrated by some examples and the error comparison was made using Runge-Kutta method of order 4 (RK4).