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

Authors

  • N. Kausar
  • M. Munir
  • M. Gulzar
  • G.M. Addis

DOI:

https://doi.org/10.31489/2020m4/101-112

Keywords:

Ordered AG-groupoids, left (right, interior, quasi-, bi-, generalized bi-) ideals, regular (intraregular) ordered AG-groupoids

Abstract

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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Published

2020-12-30

How to Cite

Kausar, N., Munir, M., Gulzar, M., & Addis, G. (2020). Characterizing the Ordered AG-Groupoids Through the Properties of Their Different Classes of Ideals. Bulletin of the Karaganda University. Mathematics Series, 100(4), 101–112. https://doi.org/10.31489/2020m4/101-112

Issue

2020 (100) 4

Section

MATHEMATICS