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Approximate homomorphisms on lattices
Authors:Roman Badora  Tomasz Kochanek  Barbara Przebieracz
Institution:1.Institute of Mathematics,University of Silesia,Katowice,Poland;2.Institute of Mathematics,Polish Academy of Sciences,Warsaw,Poland;3.Institute of Mathematics,University of Warsaw,Warsaw,Poland
Abstract: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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