Approximate homomorphisms on lattices

作者:Badora Roman*; Kochanek Tomasz; Przebieracz Barbara
来源:ARCHIV DER MATHEMATIK, 2018, 111(2): 177-186.
DOI:10.1007/s00013-018-1182-0

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.

  • 出版日期2018-8

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