双重半伪补de Morgan代数的滤子同余关系  

Filter Congruences of De Morgan Algebras with Double Demi-pseudocomplementation

作　　者：赵秀兰[1] 马红娟[1] 初元红[1] 方捷[2] 

机构地区：[1]黄河科技学院数理部,河南郑州450063 [2]广东技术师范学院计算机科学学院,广东广州510665

出　　处：《模糊系统与数学》2015年第4期19-26,共8页Fuzzy Systems and Mathematics

基　　金：河南省教育厅科学技术研究重点项目(12B110017)

摘　　要：首先,在双重半伪补de Morgan代数上引入余核滤子,正则滤子和p-滤子的概念,证明了p-滤子成为余核滤子的充要条件是该p-滤子是正则的。其次,给出了余核p-滤子生成的同余关系的表达式。最后,证明了具有余核滤子的最小同余关系具有同余一致与同余凝聚性质。Firstly, the concepts of cokernel filter, normal filter and p-filter on a de Morgan algebra with double demi-pseudocomplemented are introduced, By discussing the relations of the cokernel filter and normal filter and p-filter,the necessary and sufficient condition is proved as following： a p-filter becomes cokernel filter if and only if the p-filter is normal filter. Secondly, the expressions of the cokernel p-filter congruences are got. Finally, we prove that the smallest congruence with the cokernel filter has the congruence uniformity and congruence coherency.

关 键 词：双重半伪补代数 DE MORGAN代数 滤子 同余一致 同余凝聚 

分 类 号：O153[理学—数学]