Some Operators on Quantum B-Algebras

The aim of this paper is to investigate several operators on quantum B-algebras. At first, we introduce closure and interior operators on quantum B-algebras and consider their relations on bounded quantum B-algebras. Furthermore, we discuss very true operators on quantum B-algebras by three cases vi...

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Bibliographic Details
Main Author: Qiuyan Zhan
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/8/1381
Description
Summary:The aim of this paper is to investigate several operators on quantum B-algebras. At first, we introduce closure and interior operators on quantum B-algebras and consider their relations on bounded quantum B-algebras. Furthermore, we discuss very true operators on quantum B-algebras by three cases via the unit element, and present some similar conclusions and different results. Finally, by constructing a very true operator on a quotient very true perfect quantum B-algebra, we establish a homomorphism theorem on very true perfect quantum B-algebras.
ISSN:2073-8994