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Uniform Lattices

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The Congruences of a Finite Lattice
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Abstract

Why couldn’t lattices be more like groups and rings? We want representation theorems by lattices whose congruences behave “as in groups and rings.” We will look at lattices that are regular and uniform.

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Bibliography

  1.  _________ , Finite lattices with isoform congruences, Tatra Mt. Math. Publ. 27 (2003), 111–124.

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  2. G. Grätzer, E. T. Schmidt, and K. Thomsen , Congruence lattices of uniform lattices, Houston J. Math. 29 (2003), 247–263.

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Grätzer, G. (2016). Uniform Lattices. In: The Congruences of a Finite Lattice. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-38798-7_13

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