\(HSP\neq SHPS\) for metabelian representable \(l\)-groups (Q1319049)
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scientific article; zbMATH DE number 549243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(HSP\neq SHPS\) for metabelian representable \(l\)-groups |
scientific article; zbMATH DE number 549243 |
Statements
\(HSP\neq SHPS\) for metabelian representable \(l\)-groups (English)
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12 April 1994
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Let \(H\), \(S\) and \(P\) denote the standard operators on classes of algebras. It is always an important question whether different combinations of these operators lead really to different classes. The author shows (by means of counterexamples) that for the class of metabelian representable lattice-ordered groups \(HSP\neq SHPS\) and \(HP\not\subseteq SPHS\).
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metabelian representable \(l\)-group
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operator on a class
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lattice-ordered groups
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