Q-型伪BCI代数和2-型伪q滤子(英文)  

Q-type Pseudo-BCI Algebras and 2-type Pseudo-q Filters

作　　者：卢银锋[1] 张小红[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2011年第2期56-60,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：Supported by the National Natural Science Foundation of China(60775038)

摘　　要：作为拟结合BCI-代数的推广,提出了Q-型伪BCI代数的概念.研究了伪BCK代数,T-型伪BCI代数和Q-型伪BCI代数之间的关系.引入2-型伪q滤子的概念,研究了T-型伪BCI滤子和2-型伪q滤子之间的关系,证明了以下结论:每一个Q-型伪BCI代数的滤子都是2-型伪q滤子.As a generalization of quasi-associative BCI-algebra,the notion of Q-type pseudo-BCI algebra is introduced.The relationship among pseudo-BCK algebra,T-type pseudo-BCI algebra and Q-type pseudo-BCI algebra is investigated.The notion of 2-type pseudo-q filter is introduced,and the following result is proved： Every pseudo-BCI filter of a Q-type pseudo-BCI algebra is a 2-type pseudo-q filter.The relationship between T-type pseudo-BCI filter and 2-type pseudo-q filter is probed.

关 键 词：Q-型伪BCI代数 伪BCK代数 T-型伪BCI代数 T-型伪BCI滤子 2-型伪q滤子 

分 类 号：O153.1[理学—数学]