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Atomistic Symmetric Lattices with Duality

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Book cover 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 with 0 and 1 is called a DAC-lattice when both L and its dual L* are AC-lattices, that is, atomistic lattices with the covering property. If L is a DAC-lattice then so is L* evidently.

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References for Chapter VI

  1. Maeda, F. Decomposition of general lattices into direct summands of types I, II and III. J. Sci. Hiroshima Univ., Ser. A 23, 151–170 (1959).

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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). Atomistic Symmetric Lattices with Duality. 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_6

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  • DOI: https://doi.org/10.1007/978-3-642-46248-1_6

  • 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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