摘要
定义了布尔代数的软合同关系、软商代数和软商布尔代数等概念,证明了布尔代数的软合同关系与软理想相互确定,进而由布尔代数的软真理想得到布尔代数的软商布尔代数。最后,证明了布尔代数的软同态具有保软合同性。
The concepts of soft congruence relation, soft quotient algebra and soft quotient Boolean algebra of Boolean algebra are defined, and it is proved that soft congruence relation and soft ideal of Boolean algebra can be determined by each other. Then soft quotient Boolean algebra of Boolean algebra is obtained from soft proper ideal of Boolean algebra. Finally, the nature of preserving soft congruence relation of soft homomorphism of Boolean algebras is proved.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2015年第8期57-61,71,共6页
Journal of Shandong University(Natural Science)
基金
航空科学基金项目(2013ZD55006)
郑州航空工业管理学院青年科研基金(2014113001)
关键词
布尔代数
软布尔代数
软理想
软商布尔代数
Boolean algebra
soft Boolean algebra
soft ideal
soft quotient Boolean algebra
