A note on affine representable algebras
Rings and Algebras
2021-07-23 v3
Abstract
We consider affine representable algebras, that is, finitely generated algebras over a field that can be embedded into some matrix algebra over a commutative algebra. We show that this algebra can in fact be chosen to be a polynomial algebra. We also prove a refined version of a theorem of V.T. Markov stating that the Gelfand-Kirillov dimension of any affine representable algebra is an integer.
Cite
@article{arxiv.2104.14488,
title = {A note on affine representable algebras},
author = {Martin Lorenz},
journal= {arXiv preprint arXiv:2104.14488},
year = {2021}
}
Comments
minor edits and corrections; question added at end of article