A four-dimensional simple algebra with fractional PI-exponent
Rings and Algebras
2016-02-15 v2
Abstract
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 less than its dimension.
Cite
@article{arxiv.1310.5471,
title = {A four-dimensional simple algebra with fractional PI-exponent},
author = {M. V. Zaitsev and D. Repovš},
journal= {arXiv preprint arXiv:1310.5471},
year = {2016}
}
Comments
in Slovenian. English transl.: Mathematical Notes 95:4 (2014), 487-499