Varieties of half lattice-ordered groups of monotonic permutations of chains

DOI10.1023/A:1022496900099zbMath1054.06006MaRDI QIDQ4783835

Jiří Rachůnek, Michèle Giraudet

Publication date: 9 December 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30520

zbMATH Keywords

torsion class\(\ell \)-grouphalf-group

Mathematics Subject Classification ID

Ordered groups (06F15)

Related Items (15)

On half cyclically ordered groups ⋮ On representable covers in the lattice of varieties of \(m\)-groups ⋮ Representations, products, and varieties of \(m \)-groups ⋮ Product varieties of \(m\)-groups ⋮ On variety \(\mathcal{N}\) of normal valued \(m\)-groups ⋮ On idempotents of semigroup varieties of \(m\)-groups ⋮ On congruences of \(m\)-groups. ⋮ Unnamed Item ⋮ Wreath products of the groups of monotone permutations ⋮ Infinite distributivity in the lattice of varieties of \(m\)-groups. ⋮ Abelian groups of monotonic permutations ⋮ Generalized wreath products of \(m\)-groups ⋮ On congruences of \(m\)-groups. II. ⋮ Representations of free \(m\)-groups by automorphisms of linearly ordered sets. ⋮ Two questions in the theory of \(m\)-groups.

Cites Work

• On reversing the order of a lattice ordered group
• The structure of \(\ell\)-group varieties
• The lattice-ordered group of automorphisms of an ordered set
• Groupes à moitié ordonnés
• Torsion theory for lattice-ordered groups
• The Largest Proper Variety of Lattice Ordered Groups
• Varieties of lattice-ordered groups
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