**
Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 31, No. 2, pp. 195-206 (2015)
**

#
On modal BE-algebras

##
O. Yousefi Kia, A. Rezaei and A. Borumand Saeid

Shahid Bahonar University of Kerman and Payame Noor University

**Abstract:** In this paper, we introduce modal BE-algebra and study some structural properties of modal BE-algebra. The notions of modal upper set, modal BE-filter, BE-tautology filter, dual modal BE-algebra and quotient modal BE-algebraare introduced and their basic properties are investigated. We will prove that every self- distributive BE-algebra, induce a dual modal BE-algebra. Finally, we will prove that every dual modal BE-algebra is a modal BE-algebras under special conditions.

**Keywords:** Self distributive, commutative, bounded, involutory, modal BE-algebra, modal (normal) BE-filter.

**Classification (MSC2000):** 06F35; 03G25

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2015
FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition
*