Involutory BE-algebras
R. A. Borzooei, Arsham Borumand Saeid, R. Ameri, Akbar Rezaei · Journal of Mathematics and Applications · 2014
This paper is devoted to the study of some structural properties of bounded and involutory BE-algebras and investigate the relationship between them.We construct a commutative monoid by definition of proper operation in an involutory BE-algebra.Some rules of calculus for BE-algebras with a semi-lattice structure are provided.Many results related to the natural order of a BE-algebras were found.Finally, we show that an involutory bounded BE-algebra X is semi-simple.