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Article type: Research Article
Authors: Zaheriani, Seyed Yashar | Zahiri, Omid
Affiliations: Department of Mathematics, Shahid Beheshti University, G.C., Tehran, Iran
Note: [] Corresponding author. Omid Zahiri, Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran. E-mail: [email protected]
Abstract: The aim of this paper is to introduce and investigate (bounded commutative) monadic BE-algebras. It's proved that for each m-relatively complete subalgebra of a bounded commutative monadic BE-algebra, we can defined a bounded commutative monadic BE-algebra, moreover, each bounded commutative monadic BE-algebra is of this form. Also, some results about filters and congruences on a bounded commutative monadic BE-algebra are stated and a relation between bounded commutative monadic BE-algebras and monadic bounded residuated lattices is obtained.
Keywords: Monadic, BE-algebra, relatively complete subalgebra, congruence, m-filter
DOI: 10.3233/IFS-141257
Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 6, pp. 2987-2995, 2014
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