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From distributive \(\ell\)-monoids to \(\ell\)-groups, and back again

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Publication:2122219
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DOI10.1016/j.jalgebra.2022.02.012OpenAlexW4220860691MaRDI QIDQ2122219

Almudena Colacito, Simon Santschi, Nikolaos Galatos, George Metcalfe

Publication date: 6 April 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00146


zbMATH Keywords

free groupsfree monoidslattice-ordered groupsdistributive lattice-ordered monoids


Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Ordered groups (06F15)


Related Items

Deciding Equations in the Time Warp Algebra ⋮ Semilinear idempotent distributive \(\ell\)-monoids



Cites Work

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  • Proof theory for lattice-ordered groups
  • On subdirectly irreducible lattice-ordered semigroups
  • Bases of identities of varieties of lattice ordered semigroups
  • Right-orderability versus left-orderability for monoids
  • Ordering groups and validity in lattice-ordered groups
  • Sur les demi-groupes réticulés et les O-demi-groupes. (Lattice ordered semigroups and O-semigroups)
  • The lattice-ordered group of automorphisms of an ordered set
  • On the Computational Complexity of Algebra on Lattices
  • A Representation Theorem for Distributive l-Monoids
  • The Largest Proper Variety of Lattice Ordered Groups
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