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On poset Boolean algebras of scattered posets with finite width

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Abstract.

We prove that the poset algebra of every scattered poset with finite width is embeddable in the poset algebra of a well ordered poset.

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References

  1. Abraham, U., Bonnet, R., Kubiś, W., Rubin, M.: On poset Boolean algebras. To appear in Order (26 pages)

  2. Abraham, U., Bonnet, R.: Every superatomic subalgebra of an interval algebra is embeddable in an ordinal algebra. Proc. Am. Math. Soc. 115 (3), 585–592 (1992)

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Authors and Affiliations

  1. Département de Mathématique, Université de Savoie, Chambéry, France

    Robert Bonnet

  2. Department of Mathematics, Ben Gurion University, Beer Sheva, Israel

    Matatyahu Rubin

Authors
  1. Robert Bonnet
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  2. Matatyahu Rubin
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Correspondence to Robert Bonnet.

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Mathematics Subject Classification (2000):Primary 03G05, 06A06, 06A11; Secondary 08A05, 54G12

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Bonnet, R., Rubin, M. On poset Boolean algebras of scattered posets with finite width. Arch. Math. Logic 43, 467–476 (2004). https://doi.org/10.1007/s00153-003-0202-2

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  • DOI: https://doi.org/10.1007/s00153-003-0202-2

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