Characterizing the Ordered AG-Groupoids Through the Properties of Their Different Classes of Ideals | Zendy

Nasreen Kausar | Zendy; Mohammad Munir | Zendy; Muhammad Gulzar | Zendy; Gezahagne Mulat Addis | Zendy

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Characterizing 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 -

bulletin of the karaganda university-mathematics

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 , algebraic structure , relation (database) , 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.

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