江苏师范大学学报(自然科学版)
江囌師範大學學報(自然科學版)
강소사범대학학보(자연과학판)
Journal of Xuzhou Normal University(Natural Science Edition)
2013年
3期
1-3
,共3页
滤子%半格%并滤子
濾子%半格%併濾子
려자%반격%병려자
filter%semilattice%join-filter
给出了滤子的并未必是滤子的例证,并引入和考察了并滤子的概念。证明了并滤子对任意交和任意并的封闭性,格中并滤子的全体构成一个分配的完备格。
給齣瞭濾子的併未必是濾子的例證,併引入和攷察瞭併濾子的概唸。證明瞭併濾子對任意交和任意併的封閉性,格中併濾子的全體構成一箇分配的完備格。
급출료려자적병미필시려자적예증,병인입화고찰료병려자적개념。증명료병려자대임의교화임의병적봉폐성,격중병려자적전체구성일개분배적완비격。
In this paper ,the union of filters needs not be a filter in a semilattice is shown ,and the concept of join-fil-ter in semilattice is introduced and examined .It is proved that the family of all join-filters is closed under arbitrary intersection as well as arbitrary union ,and is a distributively complete lattice in lattices .