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Generalized fuzzy quasi-ideals of an intraregular Abel-Grassmann’s groupoid. (English) Zbl 1247.20075

Summary: We introduce a new nonassociative class of Abel-Grassmann’s groupoids, namely, intraregular and characterize it in terms of its \((\in,\in\vee_q)\)-fuzzy quasi-ideals.

MSC:

20N25 Fuzzy groups
20N02 Sets with a single binary operation (groupoids)
20M99 Semigroups
20M12 Ideal theory for semigroups
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