Approximate homomorphisms on lattices

被引：0
|
作者：
Roman Badora
Tomasz Kochanek
Barbara Przebieracz
机构：
[1] University of Silesia,Institute of Mathematics
[2] Polish Academy of Sciences,Institute of Mathematics
[3] University of Warsaw,Institute of Mathematics
来源：
Archiv der Mathematik | 2018年 / 111卷
关键词：
Ulam stability; Distributive lattice; Lattice homomorphism; 06B23; 06D99; 39B82;
D O I：
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学科分类号：
摘要：
We prove two results concerning an Ulam-type stability problem for homomorphisms between lattices. One of them involves estimates by quite general error functions; the other deals with approximate (join) homomorphisms in terms of certain systems of lattice neighborhoods. As a corollary, we obtain a stability result for approximately monotone functions.
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页码：177 / 186
页数：9
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