期刊名称：Thammasat International Journal of Science and Technology
印刷版ISSN：0859-4074
出版年度：2007
卷号：12
期号：04
页码：1-5
出版社：Printing House of Thammasat University
摘要：A meet semilattice S is called directed above if foreach a, b e S there exist d eS such that d> a,
d > b. In this paper we have introduced the notion of modular and dual standard elements in a directed
above meet semilattice and included several characterizations of these elements. We prove that an
element is dual standard if and only if it is both modular and dual distributive. We have also included a
number of characterizationso f modular and standardf ilters of directed above meet semilattices.
