双重Stone代数的核理想  

The Kernel Ideal on Double Stone Algebras

作　　者：赵秀兰[1] 陈丽娟[2] 

机构地区：[1]黄河科技学院数理部,郑州450063 [2]河南工程学院理学院,郑州451191

出　　处：《四川理工学院学报（自然科学版）》2017年第1期88-91,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：国家自然科学基金(11302072);河南省基础与前沿技术研究(152300410129)

摘　　要：理想是研究Ockham代数类结构的一个重要工具,在双重Stone代数上引入核理想的概念,构造了核理想同余关系表达式,获得了双重Stone代数核理想判别定理。根据双重Stone代数的运算特征及主同余表示理论,获得了核理想同余关系的若干等价表达式并证明了双重Stone代数核理想与其同余关系是同构的。所得结论为其它Ockham代数类核理想性质的研究提供了方法,丰富了Ockham代数的发展,为进一步研究Ockham代数类的代数结构提供理论支持。The concept of kernel ideal on double Stone algebras is introduced. The expression of ideal congruence is constructed and the discrimination theorem of the kernel ideal is obtained. According to the operational characteristics and the principal congruence representation theory of double Stone algebras, some equivalent expressions of the double Stone algebras are obtained. It is proved that the set of kernel ideal is isomorphic to the set of the congruences with the kernel ideal. Based on the conclusion, a method for the study of the properties of the other Ockham algebras is provided, and the theory of ordered algebraic structures is enriched.

关 键 词：STONE代数 对偶Stone代数 双重Stone代数 核理想 同余关系 

分 类 号：O153.1[理学—数学]