1: If a neutrosophic LA-semigroup N (S) contains left identity e + Ie then the following conditions hold.

3: If N(B) is a neutrosophic bi-ideal of a neutrosophic LA-semigroup N(S) with left identity e + eI, then (([x.

4: If N(M) is a minimal bi-ideal of N(S) with left identity and N(B) is any arbitrary neutrosophic bi-ideal of N(S), then N (M) = (([x.

Theoreml If N(S) is a Neutrosophic AG-groupoid with left identity ([AG.

Proof Let N(S) be an intra-regular Neutrosophic AG-groupoid with left identity ([AG.

Theorem 2 If N(S) is a Neutrosophic AG-groupoid with left identity ([AG.

Also it has been proved in [4] that if S is an AG-groupoid with left identity e then [a.

Then it has been proved in [2] that (G, *) is an AG-groupoid with left identity.

V] contains the left identity 0, since V is a vector space and it contain 0 which acts as a left identity in [G.

2, we need to prove that (A", <>) has a

left identity.

N (S) = (S [union] l) = {1, 2, 3, 4, 5, 1I, 2I, 3I, 4I, 5I} with left identity 4, defined by the following multiplication table.

If N (S) is a neutrosophic LA-semigroup with left identity e, then it is unique.