格上半开集及半序同态类

自从有了分明半开集定义以来,有关半拓扑性质已有很丰富的结果。我们在文[1]已把分明半开集定义推广至F拓扑空间中。本文继续把这个概念推广至格上拓扑学,并证明了它是Lowen意义下L-好的推广,而且本文还相应地讨论了半连续等半序同态的一些特征及相互关系。

Semi-open Sets and Semi-order Homomorphisms in L-Fuzzy Topological Spaces

In this paper, we extend the definition of semi-open sets seen in paper[1]to L-fuzzy topology. We prove that it is a good extension in terms of Lowen's. Furthermore, some order homomorphisms such as aemi-continuous order homomorphisms, etc. are introduced and finally their relations and characteristic properties are studied.