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Minimal identities for right-symmetric algebras

✍ Scribed by Askar Dzhumadil'daev

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 190 KB
Volume: 225
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8109

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✦ Synopsis

An algebra A with multiplication

are given by u∂ i • v∂ j = v∂ j u ∂ i . An analogue of the Amitsur-Levitzki theorem for right-symmetric Witt algebras is established. Rightsymmetric Witt algebras of rank n satisfy the standard right-symmetric identity of degree 2n

The minimal degree for left polynomial identities of W r sym n W +r sym n p = 0, is 2n + 1. All left polynomial identities of right-symmetric Witt algebras of minimal degree follow from the left standard right-symmetric identity s r sym 2n = 0, if p = 2.

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