An improved bound for the lengths of matrix algebras

is the full $F$ -algebra generated by $S$ . This improves on the $\frac{n^{2}}{3} + \frac{2}{3}$ bound by Paz (1984) and an $O (n^{3 ∕ 2})$ bound of Pappacena (1997).

Keywords

matrix theory, finite-dimensional algebras, generating sets

Mathematical Subject Classification 2010

Primary: 15A03

Secondary: 15A30

Milestones

Received: 14 November 2018

Revised: 6 March 2019

Accepted: 14 May 2019

Published: 18 August 2019

Authors

Yaroslav Shitov
Moscow Russia

Vol. 13, No. 6, 2019

Yaroslav Shitov

Abstract

Keywords

Mathematical Subject Classification 2010

Milestones

Authors