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Right-orderability versus left-orderability for monoids

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Publication:2031449
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DOI10.1007/s00233-021-10185-yOpenAlexW3041204039MaRDI QIDQ2031449

Friedrich Wehrung

Publication date: 9 June 2021

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-021-10185-y


zbMATH Keywords

categoryordercancellative monoidgroupmonoidconical monoiduniversal groupuniversal monoididempotent monoidquasitrivial monoid


Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05)


Related Items

From distributive \(\ell\)-monoids to \(\ell\)-groups, and back again ⋮ A type of algebraic structure related to sets of intervals


Uses Software

  • Prover9
  • Mace4


Cites Work

  • On monoids, 2-firs, and semifirs.
  • Multifraction reduction. I: The 3-Ore case and Artin-Tits groups of type FC.
  • Groups in which every right order is two sided
  • On the geometry of semigroup presentations
  • The orderability of idempotent semigroups
  • Gcd-monoids arising from homotopy groupoids
  • Orders on groups, and spectral spaces of lattice-groups
  • Foundations of Garside theory
  • Small doubling in ordered semigroups.
  • Quasitrivial semigroups: characterizations and enumerations
  • On positive commutative tomonoids
  • ON THE THEORY OF EPIGROUPS. II
  • Extended Malcev Domains
  • Totally ordered commutative monoids
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