摘要
在剩余格蕴涵代数中,提出准素滤子的概念.讨论了准素滤子与素滤子之间的关系和准素滤子与其格蕴涵同态像之间的关系.最后,得到了在格H蕴涵代数中,准素滤子和素滤子等价的结论.
The concept of primary filter is proposed in residuated lattice implication algebras. The relations between the primary filter and the prime filter, between the primary filter and its lattice implication homomorphism image are discussed in residuated lattice implication algebras. A primary filter is proved a prime filter in lattice H implication algebras
出处
《南阳师范学院学报》
CAS
2006年第3期14-16,共3页
Journal of Nanyang Normal University
关键词
剩余格蕴涵代数
准素滤子
素滤子
residuated lattice implication algebra
primary filter
prime filter
