Orthogonal central groupoids and their graphs (Q2716620)
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scientific article; zbMATH DE number 1599234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal central groupoids and their graphs |
scientific article; zbMATH DE number 1599234 |
Statements
17 September 2002
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strong central algebras
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de Bruijn groupoids
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varieties of central algebras
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varieties of central groupoids
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Orthogonal central groupoids and their graphs (English)
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The author gives a description of strong central algebras one of whose components is a de Bruijn groupoid, but leaves entirely open the question of the existence of strong central algebras neither of whose components is de Bruijn.NEWLINENEWLINENEWLINEIn fact, the author obtains, from a central algebra \((S,*,+)\), the consequence that the variety of strong central algebras is a subvariety of the variety of central algebras. Interest in these varieties stems from the close connection to the variety of central groupoids.
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