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Symmetric Lattices and Basic Properties of Lattices

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Theory of Symmetric Lattices

Part of the book series: Die Grundlehren der mathematischen Wissenschaften ((GL,volume 173))

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Abstract

A lattice L is a partially ordered set any two of whose elements a and b have a least upper bound a ∨ b and a greatest lower bound a ∧ b, which are respectively called the join and the meet of a and b. The least element and the greatest element, if they exist, are denoted by 0 and 1 respectively.

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References for Chapter I

  1. Birkhoff, G. Lattice theory. Third edition. New York: Amer. Math. Soc. Colloq. Publ. 1967.

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Author information

Authors and Affiliations

  1. Hiroshima University, Japan

    Prof. Dr. Fumitomo Maeda (Late Professor of Mathematics)

  2. Ehime University, Japan

    Prof. Dr. Shûichirô Maeda (Professor of Mathematics)

Authors
  1. Prof. Dr. Fumitomo Maeda
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  2. Prof. Dr. Shûichirô Maeda
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© 1970 Springer-Verlag Berlin · Heidelberg

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Maeda, F., Maeda, S. (1970). Symmetric Lattices and Basic Properties of Lattices. In: Theory of Symmetric Lattices. Die Grundlehren der mathematischen Wissenschaften, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46248-1_1

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  • DOI: https://doi.org/10.1007/978-3-642-46248-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46250-4

  • Online ISBN: 978-3-642-46248-1

  • eBook Packages: Springer Book Archive

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