The continuous weak order

DOI10.1016/j.jpaa.2020.106472zbMath1446.18004arXiv1812.02329OpenAlexW3046072471MaRDI QIDQ2196345

Luigi Santocanale, Maria João Gouveia

Publication date: 28 August 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02329

zbMATH Keywords

pathpermutohedronDedekind-MacNeille completionresiduated latticejoin-irreducible elementcompact elementweak Bruhat ordermultinomial latticelattice-ordered semigroupjoin-prime element\(\star\)-autonomous quantalecontinuous weak orderjoin-continuous mapMIX ruleskew metric

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Complete lattices, completions (06B23) Polytopes and polyhedra (52B99) Preorders, orders, domains and lattices (viewed as categories) (18B35) Quantales (06F07) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Quantales (18F75)

Related Items

Unitless Frobenius quantales, Skew metrics valued in Sugihara semigroups, Unnamed Item

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