All Retraction Operators on a Complete Lattice Form a Complete Lattice

被引：0

作者：

李伯渝

机构：

[1] Department of Mathematics

[2] Northwestern

来源：

Acta Mathematica Sinica | 1991年 / 03期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

<正> H. Crapo raised in 1982 the following problem: If P is a complete lattice, is Retr(P)a complete lattice? here Retr(P) denotes the set of all retraction operators on P with thepointwise order, that is, f≤g in Retr(P)iff f(x)≤g(x) for every x in P. An affirmative answerwill be given in the present paper.

引用

页码：247 / 251

页数：5

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