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

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.

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

Grätzer G., General Lattice Theory, Birkhäser, Basel, Stuttgart 1978. 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. 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.

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Published

2015-01-01

Issue

Vol. 44 No. 1/2 (2015)

Section

Article

License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Łazarz, Marcin, and Krzysztof Siemieńczuk. 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.