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ω-Filters of Commutative Be-Algebras

V. Venkata Kumar *, M. Sambasiva Rao **, S. Kalesha Vali ***

* Department of Mathematics, Aditya Engineering College, Surampalem, Andhra Pradesh, India.

** Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India.

*** Department of Mathematics, JNTUK University College of Engineering, Vizianagaram, Andhra Pradesh, India.

Periodicity:July - December'2020
DOI : https://doi.org/10.26634/jmat.9.2.17868

Abstract

The notion of -filters is introduced on the lines of a dual annihilator of commutative BE-algebras. An equivalent condition is given for a proper ω-filter of a commutative BE-algebra to become a prime filter. A characterization theorem of ω-filters is established which in turn establishes some of equivalent conditions for a prime filter of a commutative BE-algebra to become an ω-filter. It is proved that every ω-filter is an intersection of all minimal prime filters.

Keywords

Commutative BE-Algebra, Dual Annihilator, V-Closed Subset, Minimal Prime Filter, w -Filter.

How to Cite this Article?

Kumar, V. V., Rao, M. S., and Vali, S. K. (2020). ω-Filters of Commutative Be-Algebras. i-manager's Journal on Mathematics, 9(2), 30-39. https://doi.org/10.26634/jmat.9.2.17868

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