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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Main Author:	Qiuyan Zhan
Format:	Article
Language:	English
Published:	MDPI AG 2021-07-01
Series:	Symmetry
Subjects:	quantum B-algebras closure operators interior operators very true operators homomorphism theorem
Online Access:	https://www.mdpi.com/2073-8994/13/8/1381

id	doaj-e772804ab10941bdb05d6c84a56bf032
record_format	Article
spelling	doaj-e772804ab10941bdb05d6c84a56bf0322021-08-26T14:23:50ZengMDPI AGSymmetry2073-89942021-07-01131381138110.3390/sym13081381Some Operators on Quantum B-AlgebrasQiuyan Zhan0School of Mathematical Sciences Shahe Campus, Beihang University, Beijing 102206, ChinaThe 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.https://www.mdpi.com/2073-8994/13/8/1381quantum B-algebrasclosure operatorsinterior operatorsvery true operatorshomomorphism theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Qiuyan Zhan
spellingShingle	Qiuyan Zhan Some Operators on Quantum B-Algebras Symmetry quantum B-algebras closure operators interior operators very true operators homomorphism theorem
author_facet	Qiuyan Zhan
author_sort	Qiuyan Zhan
title	Some Operators on Quantum B-Algebras
title_short	Some Operators on Quantum B-Algebras
title_full	Some Operators on Quantum B-Algebras
title_fullStr	Some Operators on Quantum B-Algebras
title_full_unstemmed	Some Operators on Quantum B-Algebras
title_sort	some operators on quantum b-algebras
publisher	MDPI AG
series	Symmetry
issn	2073-8994
publishDate	2021-07-01
description	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.
topic	quantum B-algebras closure operators interior operators very true operators homomorphism theorem
url	https://www.mdpi.com/2073-8994/13/8/1381
work_keys_str_mv	AT qiuyanzhan someoperatorsonquantumbalgebras
_version_	1721189768586330112

Some Operators on Quantum B-Algebras

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