Complete Ideal in Bd-Algebras

Abstract

We start with the definition of B-algebras and d-algebras. Then, we give several examples of thats algebraic structure. We combine some properties from B-algebras and d-algebras. (x;*,0) is called Bd-algebras if for any r,s element of X satisfies the following axioms: r * 0 = r, and if r * s = 0 and s * r = 0 then r = s. We also explain the example of Bd-algebras. Next, we give the definition of ideal and complete ideal in Bd-algebras. We investigated and proven some proposition about thats concepts. One of the result in our research is every ideal is complete ideal in Bd-algebras.