[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2019.32.1.53

CLOSED AND DENSE ELEMENTS OF BE-ALGEBRAS

Prabhakar, M.Bala (Department of Mathematics, Aditya Engineering College(A))
Vali, S.Kalesha (Department of Mathematics, JNTUK University College of Engineering)
Sambasiva Rao., M. (Department of Mathematics, MVGR College of Engineering(A))

Publication Information

Journal of the Chungcheong Mathematical Society / v.32, no.1, 2019 , pp. 53-67 More about this Journal

Abstract

The notions of closed elements and dense elements are introduced in BE-algebras. Characterization theorems of closed elements and closed filters are obtained. The notion of dense elements is introduced in BE-algebras. Dense BE-algebras are characterized with the help of maximal filters and congruences. The concept of D-filters is introduced in BE-algebras. A set of equivalent conditions is derived for every D-filter to become a closed filter.

Keywords

BE-algebra; maximal filter; closed element; closed filter; dense element; dense BE-algebra; D-filter;

Citations & Related Records

Reference

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