Hyperidentities for varieties of star bands (Q2707037)
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: Hyperidentities for varieties of star bands |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperidentities for varieties of star bands |
scientific article |
Statements
17 September 2001
0 references
hyperidentities
0 references
varieties of star-bands
0 references
lattices of varieties
0 references
Hyperidentities for varieties of star bands (English)
0 references
A star-band is an idempotent semigroup with an additional unary operation \(*\) such that \(x^{**}\approx x\), \((xy)^*\approx y^*x^*\), and \(xx^*x\approx x\). In the article under review, for each star-band variety \(\mathcal V\), a hyperidentity \(\sigma\) is presented such that \(\sigma\) holds in \(\mathcal V\) but fails in any star-band variety \(\mathcal X\) with \({\mathcal X}\not\subseteq{\mathcal V}\).
0 references
