Special-valued \(l\)-groups and Abelian covers

DOI10.1007/BF00337696zbMath0627.06014OpenAlexW1978120013MaRDI QIDQ581437

Michael R. Darnel

Publication date: 1987

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00337696

zbMATH Keywords

coversAbelian l-varietyScrimger covers

Mathematics Subject Classification ID

Lattices of varieties (08B15) Quasivarieties and varieties of groups (20E10) Ordered groups (06F15) Varieties of lattices (06B20) Ordered groups (group-theoretic aspects) (20F60)

Related Items (9)

Varieties minimal over representable varieties of lattice-ordered groups ⋮ A very large class of small varieties of lattice-ordered groups¹ ⋮ A variety of lattice-ordered groups containing all representable covers of the abelian variety ⋮ Solvable covers of the Boolean variety of unital \(\ell \)-groups ⋮ Cyclic extensions of the Medvedev ordered groups ⋮ Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable ⋮ Covers of the Abelian Variety of Generalized MV-Algebras ⋮ Minimal Non-Metabelian Varieties of ℓ-Groups Which Contain No Nonabeliano-Groups ⋮ The Free Lattice-Ordered Group Over a Nilpotent Group

Cites Work

• Description of covers of varieties of Abelian lattice-ordered groups
• The structure of \(\ell\)-group varieties
• Groupes et anneaux reticules
• Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable
• Above and Below Subgroups of a Lattice-Ordered Group
• Convergence and Cauchy Structures on Lattice Ordered 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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