Involutory BE-algebras
Journal Title: Journal of Mathematics and Applications - Year 2014, Vol 37, Issue
Abstract
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.
Authors and Affiliations
Rajab Ali Borzooei, Arsham Borumand Saeid, Reza Ameri, Akbar Rezaei
Keywords
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- EP ID EP342548
- DOI 10.7862/rf.2014.2
- Views 97
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Involutory BE-algebras
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...