About Bernstein algebras (Q2738458)
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scientific article; zbMATH DE number 1639633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About Bernstein algebras |
scientific article; zbMATH DE number 1639633 |
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17 September 2002
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Bernstein algebra
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genetic algebra
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Jordan algebra
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idempotent
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automorphism
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derivation
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About Bernstein algebras (English)
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This paper is a very well-written overview of some results on Bernstein algebras, \(k^{th}\) order Bernstein algebras and other related algebras. A special emphasis is made in the results obtained by the authors and their research group. Among other topics, the authors treat the following: 1) idempotents and derivations in Bernstein and \(k^{th}\) order Bernstein algebras; 2) automorphisms in Bernstein algebras; 3) the Bernstein problem; 4) Bernstein superalgebras; 5) the characterizations of the Bernstein algebras (resp. Bernstein algebras over fields of characteristic zero) that are Jordan (resp. train algebras of rank \(\leq k,\) (\(k\geq 4\))).NEWLINENEWLINEFor the entire collection see [Zbl 0963.00025].
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