
doi: 10.7862/rf.2014.2
Summary: 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.
BCK-algebras, BCI-algebras
BCK-algebras, BCI-algebras
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