Neutrosophic Set Approach for Characterizations of Left Almost Semigroups
Keywords:Neutrosophic LA-semigroup; neutrosophic intra-regular LA-semigroup; neutrosophic left invertive law; neutrosophic ideal., Neutrosophic LA-semigroup, neutrosophic intra-regular LA-semigroup, neutrosophic left invertive law, neutrosophic ideal
In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them. Furthermore, we have done some characterization of a neutrosophic LA-semigroup by the properties of its neutrosophic ideals. It has been proved that in a neutrosophic intra-regular LA-semigroup neutrosophic left, right, two-sided, interior, bi-ideal, generalized bi-ideal and quasi-ideals coincide and we have also proved that the set of neutrosophic ideals of a neutrosophic intra-regular LA-semigroup forms a semilattice structure.
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