The lattices of varieties of lattice-ordered groups and Lie algebras

DOI10.1007/BF01669432zbMath0395.06008OpenAlexW1975243661WikidataQ115393268 ScholiaQ115393268MaRDI QIDQ1252875

N. Ya. Medvedev

Publication date: 1977

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186953

zbMATH Keywords

Lattice-Ordered GroupsLattices of VarietiesLie AlgebrasLinearly Ordered FieldSolvable O-Approximable 1-Groups

Mathematics Subject Classification ID

Lattices of varieties (08B15) Ordered groups (06F15) Lie algebras and Lie superalgebras (17B99) Ordered rings, algebras, modules (06F25)

Related Items (14)

Quasi-varieties of solvable lattice-ordered groups ⋮ Varieties minimal over representable varieties of lattice-ordered groups ⋮ The Failure of The Amalgamation Property for Semilinear Varieties of Residuated Lattices ⋮ The failure of the amalgamation property for representable varieties of l-groups ⋮ Nonassociative rings ⋮ On linearly ordered linear algebras ⋮ Coverings in the lattice of quasivarieties of \(l\)-groups ⋮ Prime radicals of lattice \(\mathcal K\)-ordered algebras. ⋮ Quasi-varieties of lattice ordered groups ⋮ Top Varieties of Generalized MV-Algebras and Unital Lattice-Ordered Groups ⋮ Solvable covers of the Boolean variety of unital \(\ell \)-groups ⋮ Covers of the variety of abelian ℓ-groups ⋮ Ordered groups ⋮ On reversing the order of a lattice ordered group

Cites Work

• Relatively convex subgroups of orderable groups
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