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