Characterizations of non-associative rings by the properties of their fuzzy ideals

KAUSAR N., Islam B. u., Javaid M. Y., Ahmad S. A., Ijaz U.

Journal of Taibah University for Science, cilt.13, sa.1, ss.820-833, 2019 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/16583655.2019.1644817
  • Dergi Adı: Journal of Taibah University for Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.820-833
  • Anahtar Kelimeler: 17D05, 17D99, Fuzzy left ideal, fuzzy right ideal, intra-regular LA-ring, regular LA-ring
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, we extend the characterizations of Kuroki [Regular fuzzy duo rings. Inform Sci. 1996;96:119–139], by initiating the concept of fuzzy left (resp. right, interior, quasi-, bi-, generalized bi-) ideals in a class of non-associative and non-commutative rings (LA-ring). We characterize regular (intra-regular, both regular and intra-regular) LA-rings in terms of such ideals.