[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2015.23.3.357

ON (m, n)-IDEALS OF AN ORDERED ABEL-GRASSMANN GROUPOID

YOUSAFZAI, FAISAL (School of Mathematical Sciences University of Science and Technology of China)
KHAN, ASAD (School of Mathematical Sciences University of Science and Technology of China)
IAMPAN, AIYARED (Department of Mathematics, School of Science University of Phayao)

Publication Information

Korean Journal of Mathematics / v.23, no.3, 2015 , pp. 357-370 More about this Journal

Abstract

In this paper, we introduce the concept of (m, n)-ideals in a non-associative ordered structure, which is called an ordered Abel-Grassmann's groupoid, by generalizing the concept of (m, n)-ideals in an ordered semigroup [14]. We also study the (m, n)-regular class of an ordered AG-groupoid in terms of (m, n)-ideals.

Keywords

ordered AG-groupoid; left invertive law; left identity and (m, n)-ideal;

Citations & Related Records

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