Distributive Pseudo Be-Algebras
Copyright policy )Distributive Pseudo Be-Algebras
Abstract In this paper, we introduce the notion of distributive pseudo BE-algebra and show that the related relation defined on this structure is transitive and prove that every pseudo upper set is a pseudo filter. Also, the pseudo filter generated by a set is define and show that the set of all pseudo filters is distributive complete lattice but it is not complemented. the notion of prime and irreducible subset and prove that every irreducible subset is prime.
- University of Tehran Iran (Islamic Republic of)
- Shahid Beheshti University Iran (Islamic Republic of)
- Payame Noor University Iran (Islamic Republic of)
- Shahid Bahonar University of Kerman Iran (Islamic Republic of)
BCK-algebras, BCI-algebras, distributive complete lattices, pseudo filters, Heyting algebras (lattice-theoretic aspects), pseudo BE-algebras, Other algebras related to logic
BCK-algebras, BCI-algebras, distributive complete lattices, pseudo filters, Heyting algebras (lattice-theoretic aspects), pseudo BE-algebras, Other algebras related to logic
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