Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable

DOI10.1007/BF00400292zbMath0616.06016MaRDI QIDQ1821130

Norman R. Reilly

Publication date: 1986

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

coverslattice-ordered groupslattice of varietiestotally ordered groupsScrimger varietiesAbelian lattice-ordered groupsvariety of solvable \(\ell \)-groups

Mathematics Subject Classification ID

Lattices of varieties (08B15) Quasivarieties and varieties of groups (20E10) Ordered groups (06F15)

Related Items (9)

Varieties minimal over representable varieties of lattice-ordered groups ⋮ The relationship of partial metric varieties and commuting powers varieties ⋮ 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 ⋮ Special-valued \(l\)-groups and Abelian covers ⋮ Cyclic extensions of the Medvedev ordered groups ⋮ Covers of the Abelian Variety of Generalized MV-Algebras ⋮ Minimal Non-Metabelian Varieties of ℓ-Groups Which Contain No Nonabeliano-Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Special-valued \(l\)-groups and Abelian covers
• Varieties of \(\ell\)-groups with the identity \([x^ p,y^ p=e\) have finite bases]
• Varieties of lattice-ordered groups in which prime powers commute
• Description of covers of varieties of Abelian lattice-ordered groups
• Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups
• An uncountable tower of \(\ell\)-group varieties
• The structure of \(\ell\)-group varieties
• Groupes et anneaux reticules
• The lattice-ordered group of automorphisms of an ordered set
• A Large Class of Small Varieties of Lattice-Ordered Groups
• Free lattice-ordered groups

This page was built for publication: Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable