平衡双重伪补Ockham代数的核理想与O-理想  

Kernel Ideals and O-Ideals of Ockham Algebras with Balanced double Pseudocomplementation

作　　者：赵秀兰[1] Zhao Xiulan(Engineering Department,Huang He S&T College,Zhengzhou City,Henan Province 450063)

机构地区：[1]黄河科技学院工学部,河南郑州450063

出　　处：《黄河科技学院学报》2021年第11期98-100,共3页Journal of Huanghe S&T College

摘　　要：平衡双重伪补Ockham代数是双重伪补代数与Ockham代数结合而定义的一类新的代数类,3个一元运算的组合使得平衡双重伪补Ockham代数具有良好的运算性质。在平衡双重伪补Ockham代数上,引入O-理想的概念,基于平衡双重伪补Ockham代数核理想和余核滤子的充要条件以及主同余关系表达式,获得了平衡双重伪补Ockham代数上的核理想成为O-理想的充要条件。Ockham algebras with balanced double pseudocomplementation is a new class of algebra defined by the combination of double pseudocomplementation algebras and Ockham algebras.The combination of three unary operations makes Ockham algebras with balanced double pseudocomplementation have good operational properties.In this paper,the concept of O-ideal is introduced in Ockham algebras with balanced double pseudocomplementation.By using the kernel ideal and cokernel filter of Ockham algebras with balanced double pseudocomplementation,the discriminant theorem of cokernel filter and the congruence relation expression,the sufficient and necessary conditions for the kernel ideal of Ockham algebras with balanced double pseudocomplementation to become O-ideal are obtained.

关 键 词：OCKHAM代数 平衡双重伪补Ockham代数 核理想 余核滤子 O-理想 

分 类 号：O153.1[理学—数学]