Approximate homomorphisms on lattices |
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Authors: | Roman Badora Tomasz Kochanek Barbara Przebieracz |
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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 |
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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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