IJPAM: Volume 77, No. 5 (2012)

A STUDY ON QUASI-IDEALS IN TERNARY SEMIGROUPS

Parinyawat Choosuwan$^1$, Ronnason Chinram$^2$
$^{1,2}$Department of Mathematics and Statistics
Faculty of Science
Prince of Songkla University
Hat Yai, Songkhla 90110, THAILAND
$^2$Centre of Excellence in Mathematics
CHE, Si Ayuthaya Road, Bangkok 10400, THAILAND


Abstract. A ternary semigroup is a nonempty set together with a ternary multiplication which is associative. Any semigroup can be reduced to a ternary semigroup but a ternary semigroup does not necessarily reduce to a semigroup. In this paper, we give some characterizations of minimal and maximal quasi-ideals in ternary semigroups.

Received: September 29, 2011

AMS Subject Classification: 20M12, 20N10

Key Words and Phrases: quasi-ideals, ternary semigroups

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 5