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Cover-preserving embedding of modular lattices

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Abstract

In this note we prove: If a subdirect product of finitely many finite projective geometries has the cover-preserving embedding property, then so does each factor.

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References

  1. E. Fried, G. Grätzer andH. Lakser, Projective geometries as cover-preserving sublattices,Algebra Universalis.27 (1990), 270–278.

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  2. E. T. Schmidt, Cover-preserving embedding,Periodica Mathematica Hungarica,23 (1991), 17–24.

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Authors and Affiliations

  1. Department of Algebra and Number Theory, Eötvös University of Budapest, Múzeum-KRT. 6-8, Budapest, Hungary

    E. Fried

  2. Transport Engineering Faculty, Technical University of Budapest, Müegyetem RKP. 9, 1111, Budapest, Hungary

    E. T. Schmidt

Authors
  1. E. Fried
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  2. E. T. Schmidt
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Fried, E., Schmidt, E.T. Cover-preserving embedding of modular lattices. Period Math Hung 28, 73–77 (1994). https://doi.org/10.1007/BF01876372

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  • DOI: https://doi.org/10.1007/BF01876372

Mathematics subject classification numbers, 1991

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