Q-type Pseudo-BCI Algebras and 2-type Pseudo-q Filters
Xiaohong Zhang · Journal of Ningbo University · 2011
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.