IJPAM: Volume 92, No. 1 (2014)

ON BASES AND MAXIMAL IDEALS IN
AN ORDERED SEMIGROUP

Pisan Summaprab$^1$, Thawhat Changphas$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen 40002, THAILAND


Abstract. In this paper the concepts of left base, right base and two-sided base of an ordered semigroup are introduced. A sufficient condition for an ordered semigroup contains right bases is given.

Received: January 21, 2014

AMS Subject Classification: 06F05

Key Words and Phrases: semigroup, ordered semigroup, maximal left ideal, right base, two-sided base, covered left ideal

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DOI: 10.12732/ijpam.v92i1.11 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: 92
Issue: 1
Pages: 117 - 124

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).