6533b7dbfe1ef96bd1270c86

RESEARCH PRODUCT

Codimension and colength sequences of algebras and growth phenomena

A. ValentiS. Mishchenko

subject

Discrete mathematicsPolynomialPure mathematicsSequenceMathematics::Commutative AlgebraGeneral Mathematics010102 general mathematicsZero (complex analysis)Field (mathematics)Codimension01 natural sciences010101 applied mathematicsSettore MAT/02 - AlgebraComputational Theory and Mathematics0101 mathematicsStatistics Probability and UncertaintyVariety (universal algebra)Algebra over a fieldPolynomial identities Variety Almost nilpotent Codimension.Associative propertyMathematics

description

We consider non necessarily associative algebras over a field of characteristic zero and their polynomial identities. Here we describe some of the results obtained in recent years on the sequence of codimensions and the sequence of colengths of an algebra.

https://doi.org/10.1007/s40863-015-0025-1