A Four-Dimensional Simple Algebra with Fractional PI-Exponent

M. V. Zaicev ; D. Repovš

Matematičeskie zametki, Tome 95 (2014) no. 4, pp. 538-553.

Résumé

Numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. The main result is the construction of a four-dimensional simple unitary algebra with fractional PI-exponent strictly smaller than its dimension.

Détail

Keywords: finite-dimensional nonassociative algebra, identities of a nonassociative algebra, PI-exponent, fractional PI-exponent.

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