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On Anti Fuzzy Ideals in Left Almost Semigroups

机译:左概半群中的反模糊理想

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In this paper we have studied the concept of Anti fuzzy ideals in Left Almost Semigroups (LA-semigroup in short). The equivalent statement for an LA-semigroup to be a commutative semigroup is proved. The set of all anti fuzzy left ideals, which are idempotents, forms a commutative monoid. Moreover it has been shown that the union of any family of Anti fuzzy left ideals of an LA-semigroup is an anti fuzzy left ideal of F(S). The relation of anti fuzzy left(right) ideals, anti fuzzy interior ideals and anti fuzzy bi-ideals in LA-semigroups has been studied. Anti fuzzy points have been defined in an LA-semigroup and has been shown the representation of largest fuzzy left ideal generated by a fuzzy point.
机译:在本文中,我们研究了左概半群(简称LA-semigroup)中的反模糊理想的概念。证明了LA半群为交换半群的等价陈述。所有反模糊左理想的集合都是幂等的,它们构成了交换对半式。此外,已经表明,LA半族的任何反模糊左理想的并集是F(S)的反模糊左理想。研究了LA半群中的反模糊左(右)理想,反模糊内部理想和反模糊双理想之间的关系。反模糊点已在LA半小组中定义,并已显示出由模糊点生成的最大模糊左理想值的表示。

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