CLOSED AND DENSE ELEMENTS OF BE-ALGEBRAS

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Published: Feb 15, 2019
DOI: https://doi.org/10.14403/jcms.2019.32.1.53
Keywords:
BE-algebra, maximal filter, closed element, closed filter, dense element, dense BE-algebra, D-filter

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M.Bala Prabhakar
Department of Mathematics, Aditya Engineering College(A), Surampalem, Kakinada,
S.Kalesha Vali
Department of Mathematics, JNTUK University College of Engineering,
M. Sambasiva Rao.
Department of Mathematics, MVGR College of Engineering(A), Vizianagaram, Andhra Pradesh, India-535005.

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.





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Article Details

Issue
Vol. 32 No. 1 (2019)
Section
Articles