A new measure of growth for countable-dimensional algebras
Rings and Algebras
2008-02-03 v1
Abstract
A new dimension function on countable-dimensional algebras (over a field) is described. Its dimension values for finitely generated algebras exactly fill the unit interval . Since the free algebra on two generators turns out to have dimension 0 (although conceivably some Noetherian algebras might have positive dimension!), this dimension function promises to distinguish among algebras of infinite GK-dimension.
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Cite
@article{arxiv.math/9310230,
title = {A new measure of growth for countable-dimensional algebras},
author = {John Hannah and K. C. O'Meara},
journal= {arXiv preprint arXiv:math/9310230},
year = {2008}
}
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5 pages