English

Relatively free algebras with the identity x^3=0

Rings and Algebras 2007-05-23 v1

Abstract

A base of a relatively free associative algebra with the identity x^3=0 over a field of arbitrary characteristic is found. As an application a minimal generating system of the 3x3 matrix invariant algebra is determined.

Keywords

Cite

@article{arxiv.math/0606519,
  title  = {Relatively free algebras with the identity x^3=0},
  author = {A. A. Lopatin},
  journal= {arXiv preprint arXiv:math/0606519},
  year   = {2007}
}