Structures of Pseudo - BG Algebra and Sime pseudo – BG - Algebra

Abstract

In this paper, we introduced the notion new types of algebras pseudo BG- algebra, pseudo sub BG –algebra, Pseudo Ideal and pseudo strong Ideal of Pseudo-BG-Algebras. We state some Proposition and examples which determine the relationships between these notions and some types of ideal and we introduced the notion semi pseudo BG- algebra, pseudo sub BG –algebra, Pseudo Ideal and pseudo strong Ideal of semi pseudo-BG-Algebras. We investigated a new notion, of algebra called semi pseudo BG- algebra. We state some Proposition and examples which determine the relationships between these notions and some types of ideals defined minimal and homomorphism and kernel.

Keywords

• Pseudo - BG-algebra
• Pseudo Ideal
• Pseudo Strong Ideal
• Sime Pseudo – BG- Algebra