Distributive Pseudo Be-Algebras

Author:

Borzooei R. A.,Saeid A. Borumand,Rezaei A.,Radfar A.,Ameri R.

Abstract

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.

Publisher

Walter de Gruyter GmbH

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Γ-BE-ALGEBRAS;JORDAN J MATH STAT;2023

2. Γ α , β -BE-Algebras;Journal of Mathematics;2023-02-24

3. Some Results on Pseudo CI-Filters;J MATH EXT;2022

4. Pseudo subalgebras and pseudo filters in pseudo BE-algebras;AIMS Mathematics;2022

5. Monadic pseudo BE-algebras;Mathematica Slovaca;2020-09-27

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