- Hacettepe Journal of Mathematics and Statistics
- Vol: 41 Issue: 4
- Ideal Theory of BE-Algebras Based on N-Structures ABSTRACT | FULL TEXT
Ideal Theory of BE-Algebras Based on N-Structures ABSTRACT | FULL TEXT
Authors : Young Bae Jun , min Su Kang
Pages : 435-447
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Publication Date : 2012-04-01
Article Type : Research
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 (conditionally) employed in an N-structure is proposed. Using these notions, the concept of an ([e], [e]∨[c])-ideal is introduced, and related properties are investigated. Characterizations of ([e], [e]∨[c])-ideals are discussed.Keywords : (Transitive, Ideal, N-ideal, 2000 AMS Classification: 06 F 35