摘要
在正则剩余格上给出了正蕴涵滤子的几个等价条件,引入了布尔滤子,固执滤子的概念.讨论了它们的性质及其联系,证明了在正则剩余格上布尔滤子和正蕴涵滤子是等价的.固执滤子等价于极大正蕴涵滤子与超滤,每一个固执滤子也是素滤子.
Several equivalent conditions for positive implicative filter are given,and the definitions of Boolean filters,obstinate filters are introduced.The properties and relations of these filters are studied.The main results are as follow： in regular residuated lattices,Boolean filters and positive implicative filters are equivalent;obstinate filters are equivalent to maximal positive implicative filters,ultra filters;any obstinate filter is a prime filter.
出处
《纺织高校基础科学学报》
CAS
2010年第3期309-312,共4页
Basic Sciences Journal of Textile Universities
关键词
正则剩余格
布尔滤子
正蕴涵滤子
固执滤子
regular residuated lattices
Boolean filter
positive implicative filter
obstinate filter
