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

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

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

  • 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
  • Yıldız Teknik Üniversitesi Adresli: Evet

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.