Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups (Q1104956)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups |
scientific article; zbMATH DE number 4057581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups |
scientific article; zbMATH DE number 4057581 |
Statements
Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups (English)
0 references
1987
0 references
The paper is concerned with varieties of lattice ordered groups which are meta-Abelian as groups, and its aim is the description of the lattice of all such varieties whose subclasses of representable lattice ordered groups coincide with the variety of abelian lattice ordered groups. In the investigation, an explicit description of finitely generated subdirectly irreducible members of such a variety is obtained. It is also shown that a variety generated by any such member is determined by a single identity.
0 references
metabelian group
0 references
representable \(\ell \)-group
0 references
abelian \(\ell \)-group
0 references
varieties of lattice ordered groups
0 references
representable lattice ordered groups
0 references
abelian lattice ordered groups
0 references
