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Orthomodular Symmetric 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

Let J be an ideal of a lattice L, and assume that every element of J is modular. If x,y∈J and x ≦a ∨ y in L, then there exists an element u ∈ J such that x≦u ∨ y andu≦a.

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References for Chapter VIII

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© 1970 Springer-Verlag Berlin · Heidelberg

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Maeda, F., Maeda, S. (1970). Orthomodular Symmetric 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_8

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  • DOI: https://doi.org/10.1007/978-3-642-46248-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46250-4

  • Online ISBN: 978-3-642-46248-1

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