Journal of Taibah University for Science, vol.13, no.1, pp.820-833, 2019 (SCI-Expanded)
Article / Review
Journal of Taibah University for Science
Science Citation Index Expanded (SCI-EXPANDED), Scopus
17D05, 17D99, Fuzzy left ideal, fuzzy right ideal, intra-regular LA-ring, regular LA-ring
Yıldız Technical University Affiliated:
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.