Original Article
Kyungpook Mathematical Journal 2012; 52(4): 375-381
Published online December 23, 2012
Copyright © Kyungpook Mathematical Journal.
On Ordered Ternary Semigroups
Vanita Rohit Daddi1, Yashashree Shivajirao Pawar2
1Department of Mathematics, D. Y. Patil College of Engineering and Technology, Kolhapur, India
2Department of Mathematics, SKN Sinhgad College of Engineering, Pandharpur, Korti-413304, India
Received: December 23, 2012; Revised: December 23, 2012; Accepted: December 23, 2012
We introduce the concepts of ordered quasi-ideals, ordered bi-ideals in an ordered ternary semigroup and study their properties. Also regular ordered ternary semigroup is de ned and several ideal-theoretical characterizations of the regular ordered ternary semigroups are furnished.
Keywords: ordered semigroup, ordered ternary semigroup, ordered left ideal, ordered right ideal, ordered lateral ideal, ordered quasi-ideal, ordered bi-ideal, regular ordered ternary semigroup