IJPAM: Volume 99, No. 3 (2015)
SEMIGROUPS AND ENDO-CAYLEY DIGRAPHS
Department of Mathematics
Faculty of Applied Sciences
King Mongkul's University of Technology North Bangkok
Abstract. Let be a set of all structures where is a semigroup, is an endomorphism on and is a subset of . We define operation on and also prove is a semigroup. Similarly, we show , the set of all endo-Caylay sigraphs, is a semigroup under the tensor product. Moreover, we find partial order relations in both and .
Received: July 30, 2014
AMS Subject Classification: 06F05, 05C60, 05C76
Key Words and Phrases: Endo-Cayley digraph, partial order, semigroups
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DOI: 10.12732/ijpam.v99i3.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 245 - 255