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Lattices with unique complementation

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Abstract

We present two identities in two variables under which every lattice admitting a unary operation becomes a uniquely complemented distributive lattice. We show that the distributive law can be easily syntactically derived from these two identities.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Palacký university Olomouc, 17. listopadu 12, 771 46, Olomouc, Czech Republic

    Ivan Chajda

  2. University of Manitoba, Winnipeg R3T 2N2, Manitoba, Canada

    R. Padmanabhan

Authors
  1. Ivan Chajda
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  2. R. Padmanabhan
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Corresponding author

Correspondence to Ivan Chajda.

Additional information

Communicated by G. Czédli

Supported by Project 15 − 34697 L, by Austrian Science Fund (FWF) and Czech Grant Agency (GAČR).

This author thanks Dr. Stephen Kirkland and the Department of Mathematics, University of Manitoba for providing support and a pleasant atmosphere conductive of doing active research

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Chajda, I., Padmanabhan, R. Lattices with unique complementation. ActaSci.Math. 83, 31–34 (2017). https://doi.org/10.14232/actasm-016-514-2

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  • DOI: https://doi.org/10.14232/actasm-016-514-2

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