Quasi-varieties of solvable lattice-ordered groups

DOI10.1007/BF01236501zbMath0820.06012OpenAlexW2054577359MaRDI QIDQ1333288

Debra Ann Van Rie

Publication date: 12 October 1994

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

Full work available at URL: https://doi.org/10.1007/bf01236501

zbMATH Keywords

\(\ell\)-varietyabelian \(\ell\)-groupslattice of quasivarieties of \(\ell\)-groupssolvable cover

Mathematics Subject Classification ID

Ordered groups (06F15) Quasivarieties (08C15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Commutator relations and identities in lattice-ordered groups
• Solvable and \(\ell\)-solvable \(\ell\)-groups
• Free products of \(\ell\)-groups
• Description of covers of varieties of Abelian lattice-ordered groups
• The structure of \(\ell\)-group varieties
• Lattice-ordered locally nilpotent groups
• Nilpotent \(\ell\)-groups are representable
• The lattices of varieties of lattice-ordered groups and Lie algebras
• Minimal varieties of l-groups
• Free lattice-ordered Abelian groups
• The Lattice of l-Group Varieties
• A Large Class of Small Varieties of Lattice-Ordered Groups
• The Largest Proper Variety of Lattice Ordered Groups
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