Abstract
Let be a set of matrices over a field . We show that the -linear span of the words in of length at most
is the full -algebra generated by . This improves on the bound by Paz (1984) and an bound of Pappacena (1997).
Citation
Yaroslav Shitov. "An improved bound for the lengths of matrix algebras." Algebra Number Theory 13 (6) 1501 - 1507, 2019. https://doi.org/10.2140/ant.2019.13.1501
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