Characterizing the Ordered AG-Groupoids through the Properties of Their Different Classes of Ideals Реттелген AG-группоидтардың әртүрлi идеалды кластарының қасиеттерi бойынша сипаттамасы Характеризация упорядоченных AG-группоидов через свойства их различных классов идеалов
Bulletin of the Karaganda University. Mathematics Series, vol.100, no.4, pp.101-112, 2020 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 100 Issue: 4
- Publication Date: 2020
- Doi Number: 10.31489/2020m4/101-112
- Journal Name: Bulletin of the Karaganda University. Mathematics Series
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.101-112
- Keywords: left (right, interior, quasi-, bi-, generalized bi-) ideals, Ordered AG-groupoids, regular (intraregular) ordered AG-groupoids
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: No
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.