开广义序同态的刻划及拓扑分子格的特征与权

CHARACTERIZATION OF OPEN GENERALIZED ORDER-HOMOMORPHISM AND THE CHARACTER AND WEIGHT OF TOPOLOGICAL MOLECULAR LATTICES

王国俊先生于［１］中借助闭元成功地引入了开广义序同态的概念。本文给出了开广义序同态的一个刻划并对其是否增加拓扑分子格的权与特征等问题进行了研究，得到了积拓扑分子格的特征与权与因子拓扑分子格的特征与权间的关系，从而部分回答了ＬＦ拓扑中关于特征的两个公开问题。

In this paper,an equivalent characterization of open generalized order-homomorphismis given. The question whether an open generalized order-homomorphism increases thecharacter and weight of topological molecular lattices is discussed.Moreover the ralationsbetween the character and weight of product topological molecular lattice and the charac-ters and weights of facter topological molecular lattices are obtained.Thus two open prob-lems on characters in L-fuzzy topological spaces are solved partially