The lattice of flats of a boolean representable simplicial complex

DOI10.1142/S0218196718400131zbMath1403.05167arXiv1510.05485MaRDI QIDQ4611345

John L. Rhodes, Pedro V. Silva, Stuart W. Margolis

Publication date: 18 January 2019

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05485

zbMATH Keywords

simplicial complexatomistic latticelattice of flatsBoolean representablehereditary collection

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Structure theory of lattices (06B05) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• Supertropical matrix algebra
• Every finite lattice can be embedded in a finite partition lattice
• Supertropical algebra
• On the topology of a boolean representable simplicial complex
• Lattice Theory: Foundation
• Tropical Arithmetic and Matrix Algebra
• The Tropical Rank of a Tropical Matrix
• Boolean Representations of Simplicial Complexes and Matroids

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