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http://dx.doi.org/10.5666/KMJ.2017.57.4.545

On Generalised Quasi-ideals in Ordered Ternary Semigroups  

Abbasi, Mohammad Yahya (Department of Mathematics, Jamia Millia Islamia)
Khan, Sabahat Ali (Department of Mathematics, Jamia Millia Islamia)
Basar, Abul (Department of Mathematics, Jamia Millia Islamia)
Publication Information
Kyungpook Mathematical Journal / v.57, no.4, 2017 , pp. 545-558 More about this Journal
Abstract
In this paper, we introduce generalised quasi-ideals in ordered ternary semigroups. Also, we define ordered m-right ideals, ordered (p, q)-lateral ideals and ordered n-left ideals in ordered ternary semigroups and studied the relation between them. Some intersection properties of ordered (m,(p, q), n)-quasi ideals are examined. We also characterize these notions in terms of minimal ordered (m,(p, q), n)-quasi-ideals in ordered ternary semigroups. Moreover, m-right simple, (p, q)-lateral simple, n-left simple, and (m,(p, q), n)-quasi simple ordered ternary semigroups are defined and some properties of them are studied.
Keywords
quasi ideal; ordered ternary semigroup;
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Times Cited By KSCI : 2  (Citation Analysis)
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