A Note on some Characterization of Distributive Lattices of Finite Length

Marcin Łazarz; Krzysztof Siemieńczuk

doi:10.18778/0138-0680.44.1.2.02

A Note on some Characterization of Distributive Lattices of Finite Length

Authors

Marcin Łazarz Department of Logic and Methodology of Sciences, University of Wroclaw, Poland
Krzysztof Siemieńczuk Department of Logic and Methodology of Sciences, University of Wroclaw, Poland

DOI:

https://doi.org/10.18778/0138-0680.44.1.2.02

Keywords:

distributive lattice, ﬁnite length

Abstract

Using known facts we give a simple characterization of the distributivity of lattices of finite length.

References

Birkhoff G., Lattice theory, American Mathematical Society Colloquium Publications, Vol. XXV, Providence, Rhode Island 1967.
Google Scholar

Fried E., Grätzer G., Lakser H., Projective geometries as cover-preserving sublattices, Algebra Universalis, 27 (1990), pp. 270–278.
Google Scholar DOI: https://doi.org/10.1007/BF01182460

Grätzer G., General Lattice Theory, Birkhäser, Basel, Stuttgart 1978.
Google Scholar DOI: https://doi.org/10.1007/978-3-0348-7633-9

Herrmann Ch., S-verklebte Summen von Verba¨nden, Math. Z., 130 (1973), pp. 255–274.
Google Scholar DOI: https://doi.org/10.1007/BF01246623

Kotas J., Wojtylak P., Finite Distributive Lattices as Sums of Boolean Algebras, Reports on Mathematical Logic, 29 (1995), pp. 35–40.
Google Scholar

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Published

2015-01-01

How to Cite

Łazarz, M., & Siemieńczuk, K. (2015). A Note on some Characterization of Distributive Lattices of Finite Length. Bulletin of the Section of Logic, 44(1/2), 15–17. https://doi.org/10.18778/0138-0680.44.1.2.02