双重MS-代数的正则理想  

On Normal Ideal of Double MS-algebras

作　　者：赵秀兰[1] 陈丽娟 ZHAO Xiulan;CHEN Lijuan(Department of Mathematics and Physics,Huanghe Science and Technology College,Zhengzhou 450063,Henan China;College of Science,Henan Institute of Engineering,Zhengzhou 451191,Henan China)

机构地区：[1]黄河科技学院数理部,河南郑州450063 [2]河南工程学院理学院,河南郑州450007

出　　处：《汕头大学学报（自然科学版）》2018年第3期13-17,共5页Journal of Shantou University：Natural Science Edition

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

摘　　要：在双重MS-代数上引入正则理想以及正则滤子的概念,根据双重MS-代数的运算特征及主同余表示理论,获得了双重MS-代数正则理想集和正则滤子集是同构的结论.The concept of normal ideal and normal filter of double MS-algebras is introduced.According to the operational characteristics and the principal congruence representation theory of double MS-algebras, it is proved that the lattice of normal ideals and the lattice of normal filters on double MS-algebras are isomorphic.

关 键 词：OCKHAM代数 双重MS-代数 正则理想 正则滤子 

分 类 号：O151[理学—数学]