相等代数上态的存在性 / The existences of states on equality algebras
- Resource Type
- Academic Journal
- Authors
- 梁婕; 朱勇; 辛小龙; 王军涛; LIANG Jie; ZHU Yong; XIN Xiaolong; WANG Juntao
- Source
- 纯粹数学与应用数学 / Pure and Applied Mathematics. 39(4):569-580
- Subject
- 相等代数
Bosbach态
Rie?an态
equality algebra
Bosbach state
Rie?an state
- Language
- Chinese
- ISSN
- 1008-5513
为了研究有界相等代数上Bosbach态和Rie?an态的存在性.证明了有界相等代数∈上有Bosbach态等价于ker(s)是∈的素奇异滤子;得出对合相等代数上的Bosbach态和Rie?an态是一致的;并且给出了有界的相等代数∈有Rie?an态当且仅当∈存在一个真的弱奇异滤子F.
The aim of this paper is to investigate the existences of Bosbach states and Rie?an states on equality algebras.We prove that an equality algebras ε has Bosbach states if and only if ε has a prime fantastic filter ker(s).It is concluded that Bosbach states and Rie?an states of equality algebras are consistent.Furthermore,we also obtain that ∈ has Rie?an states if and only if a proper filter F satisfies(WQY)condition.