Abstract
We study in this chapter boolean representations of posets, paying special attention to the case of lattices. Indeed, by considering ∨-generated lattices, we succeed in establishing a correspondence between boolean matrices and lattices which will be a cornerstone of the theory of boolean representations of simplicial complexes.
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Rhodes, J., Silva, P.V. (2015). Posets and Lattices. In: Boolean Representations of Simplicial Complexes and Matroids. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-15114-4_3
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DOI: https://doi.org/10.1007/978-3-319-15114-4_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15113-7
Online ISBN: 978-3-319-15114-4
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