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Lattice tolerances and congruences

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Abstract

We prove that a tolerance relation of a lattice is a homomorphic image of a congruence relation.

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References

  1. Czédli G.: Factor lattices by tolerances. Acta Sci. Math. (Szeged) 44, 35–42 (1982)

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  2. Czédli G.: Sums of lattices and a relational category. Order 26, 309–318 (2009)

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  3. Fried E., Grätzer G.: Notes on tolerance relations of lattices: A conjecture of R.N. McKenzie. J. Pure Appl. Algebra 68, 127–134 (1990)

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  4. Graczyńska E., Grätzer G.: On double systems of lattices. Demonstratio Math. 13, 743–747 (1980)

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  5. Grätzer, G.: Lattice Theory: Foundation. Birkhäuser Verlag, Basel, xxix+613 pp., ISBN: 978-3-0348-0017-4 (2010)

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Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, Szeged, 6720, Hungary

    Gábor Czédli

  2. Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada

    George Grätzer

Authors
  1. Gábor Czédli
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  2. George Grätzer
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Corresponding author

Correspondence to George Grätzer.

Additional information

Presented by E. Kiss.

This research was supported by the NFSR of Hungary (OTKA), grant no. K77432.

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Czédli, G., Grätzer, G. Lattice tolerances and congruences. Algebra Univers. 66, 5 (2011). https://doi.org/10.1007/s00012-011-0139-y

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  • DOI: https://doi.org/10.1007/s00012-011-0139-y

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