摘要
在双重半伪补MS代数上引入余核滤子的概念，构造了余核滤子同余关系表达式，获得了余核滤子判别定理．根据双重半伪补MS代数的运算特征及主同余表示理论，获得了余核滤子同余关系的若干等价表达式并证明了双重半伪补MS代数余核滤子与其同余关系是同构的．所得结论为Ockham代数类余核滤子性质的研究提供了方法，丰富了序代数结构理论．
The concept of cokernel filter on MS-algebras with double demi-pseudocomplementation is introduced, the expression of filter congruence is constructed and the discrimination theorem of the cokernel filter is obtained.According to the operational characteristics and the principal congruence representation theory of MS-algebras with double demipseudocomplementation, some equivalent expressions of the MS-algebras with double demipseudocomplementation axe obtained. We prove that the set of cokernel filter is isomorphic to the set of the congruences with the cokernel filter. The conclusion provides a method for the study of the properties of the other Ockham algebras, and enriches the theory of ordered algebraic structures.
作者
赵秀兰
ZHAO Xiu-lan(Department of Mathematics and Physics,Huang He Science and Technology College,Zhengzhou 450063,Chin)
出处
《数学的实践与认识》
北大核心
2018年第13期224-229,共6页
Mathematics in Practice and Theory
基金
河南省基础与前沿技术研究(152300410129)
