Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups

DOI10.1007/BF01195262zbMath0648.06009MaRDI QIDQ1104956

Norman R. Reilly, W. Charles Holland

Publication date: 1987

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

zbMATH Keywords

metabelian groupabelian \(\ell \)-groupabelian lattice ordered groupsrepresentable \(\ell \)-grouprepresentable lattice ordered groupsvarieties of lattice ordered groups

Mathematics Subject Classification ID

Lattices of varieties (08B15) Quasivarieties and varieties of groups (20E10) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

The relationship of partial metric varieties and commuting powers varieties ⋮ W. Charles Holland, 75th birthday ⋮ Cyclic extensions of the Medvedev ordered groups ⋮ Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable ⋮ Minimal Non-Metabelian Varieties of ℓ-Groups Which Contain No Nonabeliano-Groups

Cites Work

• 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
• 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
• Unnamed Item
• Unnamed Item

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