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Involutory BE-algebras

Borzooei R. A., Borumand Saeid A., Ameri R., Rezaei A.

Journal of Mathematics and Applications

2014

Vol. 37

13--26

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.