Identities of conformal algebras and pseudoalgebras

Details Identities of conformal algebras and pseudoalgebras Identities of conformal algebras and pseudoalgebras

2004-12-20

arxiv.org/abs/math/0412397v1

Comm. Algebra 34 (2006) no. 6, 1965--1979

Mathematics

Rings and Algebras

11 pages

Scientific paper

For a given conformal algebra $C$, we write down the correspondence between
identities of the coefficient algebra $\Coeff C$ and identities of $C$ itself
as of pseudoalgebra. In particular, we write down the defining relations of
Jordan, alternative and Mal'cev conformal algebras, and show that the analogue
of Artin's Theorem does not hold for alternative conformal algebras.

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