IJPAM: Volume 90, No. 1 (2014)

ON DECOMPOSITIONS OF ORDERED SEMIGROUPS

Thawhat Changphasr
Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen 40002, THAILAND


Abstract. The purpose of this paper is to introduce and describe $a$-connected ordered semigroups and weakly extremely commutative ordered semigroups. The results obtained generalize the results on semigroups without order.

Received: September 25, 2013

AMS Subject Classification: 06F05

Key Words and Phrases: semigroup, ordered semigroup, external commutative, weakly extremely commutative, $a$-connected, semilattice, congruence, semilattice congruence

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DOI: 10.12732/ijpam.v90i1.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 1