B-Algebras Which Generated by $\mathbb{Z}_{n}$ Group

Abstract

B-algebra is an algebraic structure formed from a non-empty set equipped with a binary operation with a 0 constant, B-algebra is a class of K-algebra that can be build from a group. This paper uses the literature study method from journals related to B-algebra, the set of all B-homomorphisms, and B-algebra generated from the group of the sets all integers modulo $n$. Based on the analysis carried out, it was concluded that the group of the sets all integers modulo $n$ equipped with the addition operation modulo $n$ can construct B-algebra, and the B-algebra is 0-commutative. If the function from the set of all integers modulo $n$ to the sets of all integers modulo $n$ is a group homomorphism then the function is also B-homomorphism.