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

KAUSAR, Nasreen; Munir, M.; Gulzar, M.; Addis, G.M.

doi:10.31489/2020m4/101-112

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

Atıf İçin Kopyala

KAUSAR N., Munir M., Gulzar M., Addis G.

Bulletin of the Karaganda University. Mathematics Series, cilt.100, sa.4, ss.101-112, 2020 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 100 Sayı: 4
Basım Tarihi: 2020
Doi Numarası: 10.31489/2020m4/101-112
Dergi Adı: Bulletin of the Karaganda University. Mathematics Series
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.101-112
Anahtar Kelimeler: left (right, interior, quasi-, bi-, generalized bi-) ideals, Ordered AG-groupoids, regular (intraregular) ordered AG-groupoids
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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.