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.
| Original language | English |
|---|---|
| Pages (from-to) | 101-112 |
| Number of pages | 12 |
| Journal | Bulletin of the Karaganda University. Mathematics Series |
| Volume | 100 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020 E.A.Buketov Karaganda State University Publish House. All rights reserved.
Keywords
- Ordered AG-groupoids
- left (right, interior, quasi-, bi-, generalized bi-) ideals
- regular (intraregular) ordered AG-groupoids
ASJC Scopus subject areas
- General Mathematics
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