| Q-型伪BCI代数和2-型伪q滤子（英文） |
| |
| 引用本文： | 卢银锋,张小红.Q-型伪BCI代数和2-型伪q滤子（英文）[J].宁波大学学报(理工版),2011,24(2):56-60. |
| |
| 作者姓名： | 卢银锋 张小红 |
| |
| 作者单位： | 宁波大学理学院,浙江宁波,315211 |
| |
| 基金项目： | 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.
|
| 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 |
Q-type Pseudo-BCI Algebras and 2-type Pseudo-q Filters |
| |
| LU Yin-feng,ZHANG Xiao-hong.Q-type Pseudo-BCI Algebras and 2-type Pseudo-q Filters[J].Journal of Ningbo University(Natural Science and Engineering Edition),2011,24(2):56-60. |
| |
| Authors: | LU Yin-feng ZHANG Xiao-hong |
| |
| Institution: | LU Yin-feng,ZHANG Xiao-hong(Faculty of Science,Ningbo University,Ningbo 315211,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | Q-type pseudo-BCI algebra pseudo-BCK algebra T-type pseudo-BCI algebra T-type pseudo-BCI filter 2-type pseudo-q filter |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
