THE PARTIAL ORDER ON CATEGORY OF SEMIGROUPS AND ENDO-CAYLEY DIGRAPHS
Chanon Promsakon · International Journal of Pure and Apllied Mathematics · 2015
Let C be a set of all structures (S f , A) where S is a semigroup, f is an endomorphism on S and A is a subset of S. We define operation ⊗ on C and also prove (C, ⊗) is a semigroup.Similarly, we show D, the set of all endo-Caylay sigraphs, is a semigroup under the tensor product.Moreover, we find partial order relations in both C and D.