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.