摘要
就文献[3]中的命题4.7提供了一种简单证法。此外,我们给出了在半连续格条件下伪素元的内部刻画。最后,我们定义了一种新的元素——弱素元,给出了伪素元,■-素元与弱素元等价的条件。
In this paper we provide a simple solution with Proposition 4.7 in [3]. In addition, we give the intrinsic characterization of pseudo prime elements in a semicontinuous lattice. Finally, notion of weak prime elements is introduced and the condition for the equality between pseudo prime elements, 〈=-prime elements and weak prime elements is given.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第1期15-17,共3页
Fuzzy Systems and Mathematics
关键词
半连续格
伪素元
〈=-素元
弱素元
Semicontinuous Lattices
Pseudoprime Elements
〈=-prime Elements
Weak Prime Elements