Mathematica Eterna
Open Access

Abstract

Some Results on i T AG − Γ − (i =1, 2,3, 4 ) groupoids

A. R. Shabani and H. Rasouli

Non-associatione algebraic stractures are of interest to consider for their remarkable properties. In this paper, we generalize notions of the i T AG − - groupoids to i T AG −Γ − -groupoids. Then we investigate some properties of i T AG −Γ − -groupoids (i = 1, 2,3, 4 ) and prove that every 1 T AG − Γ − -groupoid is Γ − paramedical, every 2 T AG − Γ − - groupoid is transitively commutative, everyΓ − AG - band is 3 T AG − Γ − - groupoid and every 4 T AG − Γ − - groupoid with a left identity is a * Bol AG − Γ − -groupoid.