REGULAR FILTERS OF COMMUTATIVE BE-ALGEBRAS

REGULAR FILTERS OF COMMUTATIVE BE-ALGEBRAS

V. V. Kumar, M. S. Rao, S. Kalesha Vali

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Abstract

The concept of regular lters is introduced in commutative BE-algebras. The class of all regular lters of a commutative BE-algebra is characterized in terms of dual annihilators. Some equivalent conditions are derived for every lter of a commuta- tive BE-algebra to become a regular lter. Some properties of prime regular lters of a commutative BE-algebra are investigated.

Keywords

Commutative BE-algebra; regular lter; minimal prime lter; prime regular lter.