Open AccessCharacterizing the Ordered AG-Groupoids Through the Properties of Their Different Classes of Ideals
Author(s) -
Nasreen Kausar,
Mohammad Munir,
Muhammad Gulzar,
Gezahagne Mulat Addis
Publication year - 2020
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2020m4/101-112
Subject(s) - associative property , mathematics , class (philosophy) , commutative property , algebraic number , pure mathematics , relation (database) , algebraic structure , algebra over a field , computer science , mathematical analysis , database , artificial intelligence
In this article, we have presented some important charcterizations of the ordered non-associative semigroups in relation to their ideals. We have initially characterized the ordered AG-groupoid through the properties of the their ideals, then we characterized the two important classes of these AG-groupoids, namely the regular and intragregular non-associative AG-groupoids. Our aim is also to encourage the research and the maturity of the associative algebraic structures by studying a class of non-associative and non-commutative algebraic structures called the ordered AG-groupoid.