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PRIME FILTERS OF COMMUTATIVE BE-ALGEBRAS
PRIME FILTERS OF COMMUTATIVE BE-ALGEBRAS
Journal of applied mathematics & informatics. 2015. Sep, 33(5_6): 579-591
  • Received : November 06, 2014
  • Published : September 30, 2015
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RAO M. SAMBASIVA

Abstract
Properties of prime filters are studied in BE-algebras as well as in commutative BE-algebras. An equivalent condition is derived for a BE-algebra to become a totally ordered set. A condition <bold>L</bold> is introduced in a commutative BE-algebra in ordered to study some more properties of prime filters in commutative BE-algebras. A set of equivalent conditions is derived for a commutative BE-algebra to become a chain. Some topological properties of the space of all prime filters of BE-algebras are studied.
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