Minimal Non-Metabelian Varieties of ℓ-Groups Which Contain No Nonabeliano-Groups

DOI10.1080/00927872.2013.833209zbMath1320.06014OpenAlexW2017168637MaRDI QIDQ5495299

W. Charles Holland, Michael R. Darnel

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.833209

zbMATH Keywords

lattice-ordered groupsequational defined classeslattices of metabelian \(l\)-group varieties

Mathematics Subject Classification ID

Lattices of varieties (08B15) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (6)

Generalized commutativity of lattice-ordered groups. II. ⋮ Quasi-Engel varieties of lattice-ordered groups ⋮ Unnamed Item ⋮ Representing topologies using partially ordered semigroups ⋮ Generalized Commutativity of Lattice-Ordered Groups ⋮ The relationship of partial metric varieties and commuting powers varieties. II.

Cites Work

• Unnamed Item
• Special-valued \(l\)-groups and Abelian covers
• Intrinsic generalized metrics
• Varieties of \(\ell\)-groups with the identity \([x^ p,y^ p=e\) have finite bases]
• Solvable covers of the Boolean variety of unital \(\ell \)-groups
• Varieties of lattice-ordered groups in which prime powers commute
• Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups
• The structure of \(\ell\)-group varieties
• Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable
• Minimal varieties of l-groups
• The relationship of partial metric varieties and commuting powers varieties
• Lattice Theory: Foundation

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