Autour des algèbres de Bernstein. (About Bernstein algebras) (Q1105018)
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: Autour des algèbres de Bernstein. (About Bernstein algebras) |
scientific article; zbMATH DE number 4057744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Autour des algèbres de Bernstein. (About Bernstein algebras) |
scientific article; zbMATH DE number 4057744 |
Statements
Autour des algèbres de Bernstein. (About Bernstein algebras) (English)
0 references
1989
0 references
It is proved that a Bernstein K-algebra \(A=Ke\oplus U\oplus V\) is a Jordan algebra if and only if V \(2=(0)\) and \(v(vU)=(0)\) for all v in V. It is studied the orthogonality notion of a Bernstein algebra by proving that if the algebra is not orthogonal, then the dimensions of the subspaces U and V are respectively greater than two and one. It is shown an example of a Bernstein algebra that is not orthogonal of type (4,2).
0 references
Jordan algebra
0 references
orthogonality
0 references
Bernstein algebra
0 references
0 references
0.8911527
0 references
0.8879415
0 references
0 references
0 references
0 references
