6533b82cfe1ef96bd128e8b3

RESEARCH PRODUCT

Some Numerical Invariants of Multilinear Identities

Mikhail ZaicevSergey MishchenkoAntonio Giambruno

subject

ColengthsPolynomial Identitypolynomial identityCodimensions

description

We consider non-necessarily associative algebras over a field of characteristic zero and their polynomial identities. Here we describe most of the results obtained in recent years on two numerical sequences that can be attached to the multilinear identities satisfied by an algebra: the sequence of codimensions and the sequence of colengths.

https://hdl.handle.net/10525/2801