Ideal Theory of BE-Algebras Based on N-Structures  ABSTRACT  |  FULL TEXT

Authors : Young Bae JUN ,  min Su KANG

Pages : 435-447

View : 13 | Download : 4

Publication Date : 2012-04-01

Article Type : Research Paper

Abstract :Using N-structures, the notion of an N-ideal in a BE-algebra is introduced. Characterizations of an N-ideal are discussed. Conditions for an N-structure to be an N-ideal are provided. To obtain a more general form of an N-ideal, a point N-structure which is insert ignore into journalissuearticles values(conditionally); employed in an N-structure is proposed. Using these notions, the concept of an insert ignore into journalissuearticles values([e], [e]∨[c]);-ideal is introduced, and related properties are investigated. Characterizations of insert ignore into journalissuearticles values([e], [e]∨[c]);-ideals are discussed.
Keywords : Transitive, Ideal, N ideal, 2000 AMS Classification 06 F 35