Bibliographic Details
| Title: |
The Prime Congruences on Quasi-Boolean Algebras. |
| Authors: |
Liu, Xiaohao1 liuxiaohao@mail.ujn.edu.cn, Lv, Yajie1 jasslyj@mail.ujn.edu.cn, Chen, Wenjuan2 wjchenmath@gmail.com |
| Source: |
IAENG International Journal of Applied Mathematics. Jun2026, Vol. 56 Issue 6, p2168-2173. 6p. |
| Subjects: |
Congruence lattices, Boolean algebra, Homomorphisms |
| Abstract: |
As a generalization of Boolean algebras, quasi-Boolean algebras have been introduced. This paper is devoted to the investigation of prime congruences defined on quasi-Boolean algebras. First, we discuss the relationship between congruences and weak filters of quasi-Boolean algebras. Second, we establish the connection between strong proper prime congruences and strong proper weak prime weak filters of quasi-Boolean algebras. Finally, we discuss the properties of prime congruences on quasi-Boolean algebras under homomorphisms. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
