Properties of Graded Posets Preserved by Some Operations

Sergei L. Bezrukov () and Konrad Engel ()
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Sergei L. Bezrukov: University of Wisconsin – Superior, Department of Mathematics and Computer Science
Konrad Engel: University of Rostock, Department of Mathematics, Institute for Mathematics

A chapter in The Mathematics of Paul Erdős II, 2013, pp 39-46 from Springer

Abstract: Summary We answer the following question: Let P and Q be graded posets having some property and let ∘ be some poset operation. Is it true that P ∘ Q has also this property? The considered properties are: being Sperner, a symmetric chain order, Peck, LYM, and rank compressed. The studied operations are: direct product, direct sum, ordinal sum, ordinal product, rankwise direct product, and exponentiation.

Keywords: Rank Compression (RC); Symmetric Chain Order; Sperner; Inequality Filters; Finite Boolean Lattice (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7254-4_4

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DOI: 10.1007/978-1-4614-7254-4_4

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