In this paper, the composite order Cayley graph Cay(G, S) is introduced, where G is a group and S is the set of all composite order elements of G. Some graph parameters such as diameter, girth, clique number, independence number, vertex chromatic number and domination number are calculated for the composite order Cayley graph of some certain groups. Moreover, the planarity of composite order Ca...

there were pivotal elements in 1978's islamic revolution of iran playing such roles which led to the derogation of pahlavi government on one hand, and set the scene for evolution and revolutionary movement in different classes of iranians, on the other. recognizing and studying these factors and discovering their interactional and organic relationship as well as gaining their framework, ru...

let a be a banach algebra and e be a banach a-bimodule then s = a  e, the l1-direct sum of a and e becomes a module extension banach algebra when equipped with the algebras product (a; x):(a′; x′) = (aa′; a:x′ + x:a′). in this paper, we investigate △-amenability for these banach algebras and we show that for discrete inverse semigroup s with the set of idempotents es, the module extension bana...

in this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.