半伪补MS-代数的滤子同余关系

Filters Congruences of Demi-pseudocomplemented MS-algebras

在半伪补MS-代数上引入余核滤子,正则滤子和p-滤子的概念,研究了半伪补MS-代数上余核滤子,正则滤子和p-滤子的性质及关系,获得了余核p-滤子生成的同余关系的表达式,论证了余核p-滤子同余关系具有同余一致与同余凝聚性质。

The concepts of cokernel filters,normal filters and p-filters on demi-pseudocomplemented MS-algebras are introduced. By discussing the properties and relations of the cokernel filters, normal filters and p-filters, we give descriptions of the cokernel p-filters congruences on demi-pseudoeomplemented MS-algebras. We prove that the congruences with the cokernel p-filters have the congruence uniformity and congruence coherency.