Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LASemigroup

Abstract

In this paper we define neutrosophic bi-LA semigroup and neutrosophic N-LA-semigroup. Infact this paper is an extension of our previous paper neutrosophic left almost semigroup shortly neutrosophic LAsemigroup. We also extend the neutrosophic ideal to neutrosophic biideal and neutrosophic N-ideal. We also find some new type of neutrosophic ideal which is related to the strong or pure part of neutrosophy. We have given sufficient amount of examples to illustrate the theory of neutrosophic bi-LA-semigroup, neutrosophic N-LAsemigroup and display many properties of them this paper.

Keywords

• Neutrosophic LA-semigroup
• neutrosophic ideal
• neutrosophic bi-LA-semigroup
• neutrosophic biideal
• neutrosophic N-LA-semigroup
• neutrosophic N-ideal