平衡双重半拟补MS代数的理想和同余关系  

The Lattice of Ideals on MS-algebras with Balanced Double Demi-pseudocomplementation

作　　者：赵秀兰[1] 史永杰[2] ZHAO Xiu-lan;SHI Yong-jie(Basic science and Education Center,Engineering Department,Huang He Science and Technology College,Zhengzhou 450063,China;School of Mathematics,Shantou University,Shantou 515O63,China)

机构地区：[1]黄河科技学院工学部基础科教中心,河南郑州450063 [2]汕头大学理学院,广东汕头515063

出　　处：《模糊系统与数学》2022年第1期90-96,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11701355)。

摘　　要：在平衡双重半拟补MS代数上引入(^(*))理想,(^(+))理想,(°)理想和(^(*),^(+),°)理想的概念,探讨平衡双重半拟补MS代数上(^(*))理想,(^(+))理想,(°)理想和(^(*),^(+),°)理想与核理想的关系,获得了(°)理想是核理想的结论。同时构造出了以(^(*),^(+),°)理想为核的最小同余关系和最大同余关系,并获得了最小同余关系和最大同余关系之间的等式关系。The concepts of(^(*))ideals,(+)ideals,(°)ideals and(^(*),+,°)ideals on the MS-algebras with balanced double Demi-pseudocomplementation are introduced.By discussing the relations between the ideals of(^(*))ideals,(+)ideals,(°)ideals,(^(*),+,°)ideals and kernel ideas,and obtain the conclusion that(°)ideals are kernel ideals.The minimum congruence relation and the maximum congruence relation of kernel ideal congruence relation are constructed,and obtain the equality relation between the minimum congruence relation and the maximum congruence relation of kernel ideal congruence relation.

关 键 词：OCKHAM代数 拟补代数 双重半拟补代数 平衡双重半拟补MS代数 同余关系 核理想 

分 类 号：O153[理学—数学]