BCK-代数的模糊点正定关联理想(英文)

Fuzzy Dot Positive Implicative Ideals in BCK-algebras

引入了BCK-代数的模糊点正定关联理想的概念,并给出了恰当的例子,给出了BCK-代数的模糊点理想与模糊点正定关联理想之间的关系;获得了BCK-代数的模糊点正定关联理想的若干等价条件,证明了模糊点正定关联理想(模糊点理想)在满同态下的逆象仍为模糊点正定关联理想(模糊点理想).

In this paper,the notion of fuzzy dot positive implicative ideals in BCK-algebras is introduced,and some appropriate examples are provided.Relations between fuzzy dot ideals and fuzzy dot positive implicative ideals in BCK-algebras are given;some equivalent conditions of fuzzy dot positive implicative ideals are obtained.It is proved that homomorphic inverse images of fuzzy dot positive implicative ideals（fuzzy dot ideals） are also fuzzy dot positive implicative ideals（fuzzy dot ideals）.