Fuzzy Abel Grassmann's Groupoids

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dc.creatorKhan, Madad
dc.creatorKhan, Muhammad Nouman Aslam
dc.date2009-04-01
dc.date.accessioned2026-07-07T12:58:59Z
dc.date.available2026-07-07T12:58:59Z
dc.descriptionIn the present paper we have studied the concept of fuzzification in AG-groupoids. The equivalent statement for an AG-groupoid to be a commutative semigroup is proved. Fuzzy points have been defined in an AG-groupoid and has been shown the representation of smallest fuzzy left ideal generated by a fuzzy point. The set of all fuzzy left ideals, which are idempotents, forms a commutative monoid. The relation of fuzzy left(right) ideals, fuzzy interior ideals and fuzzy bi-ideals in AG-groupoid has been studied. Necessary and sufficient condition of fully fuzzy prime AG-groupoid has been shown. Further, It has been shown that the set of fuzzy quasi-prime ideals of AG-groupoid with left identity forms a semillattice structure. Moreover, equivalent statements for fuzzy semiprime left ideal in an AG-groupoid have been proved.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0904.0077
dc.identifierhttp://arxiv.org/abs/0904.0077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225434
dc.subjectGroup Theory
dc.subject20M10, 20N990
dc.titleFuzzy Abel Grassmann's Groupoids
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