All Retraction Operators on a Complete Lattice Form a Complete Lattice

被引：0
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作者：
李伯渝
机构：
[1] Department of Mathematics
[2] Northwestern
来源：
Acta Mathematica Sinica | 1991年 / 03期
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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.
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页码：247 / 251
页数：5
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