模糊Abel Grassmann群胚
Fuzzy Abel Grassmann's Groupoids
摘要：
本文研究了AG-广群中的模糊化概念。证明了AG-广群是交换半群的等价命题。在AG-广群中定义了模糊点，并证明了模糊点是由模糊点生成的最小模糊左理想的表示。模糊左理想是幂等元，它们的集合构成一个交换幺半群。研究了AG-广群中模糊左（右）理想、模糊内理想和模糊双理想之间的关系。给出了全模糊素AG-广群的充要条件。进一步证明了具有左单位元的AG-广群的模糊拟素理想构成半格结构。此外，还证明了AG-广群中模糊半素左理想的等价性。
英文摘要：
In 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
