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Sublattices of the direct product

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Abstract.

In this paper we show that complete sublattices of the direct product of two complete lattices can be described using adjunctions between these lattices.

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Authors and Affiliations

  1. Institute of Mathematics, University of Tartu, 50090, Tartu, Estonia

    K. Kaarli & V. Kuchmei

  2. Department of Mathematics, TU Dresden, 01062, Dresden, Germany

    S. E. Schmidt

Authors
  1. K. Kaarli
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  2. V. Kuchmei
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  3. S. E. Schmidt
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Correspondence to K. Kaarli.

Additional information

Dedicated to George Grätzer and E. Tamás Schmidt on their 70th birthdays

Received December 12, 2006; accepted in final form April 4, 2007.

The research of the first two authors was supported by the Estonian Science Foundation grant no 5368.

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Kaarli, K., Kuchmei, V. & Schmidt, S.E. Sublattices of the direct product. Algebra univers. 59, 85–95 (2008). https://doi.org/10.1007/s00012-008-2067-z

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  • DOI: https://doi.org/10.1007/s00012-008-2067-z

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