Open Access
2015 Growth functions of finitely generated algebras
Eric Fredette, Dan Kubala, Eric Nelson, Kelsey Wells, Harold Ellingsen
Involve 8(1): 71-74 (2015). DOI: 10.2140/involve.2015.8.71

Abstract

We study the growth of finitely presented two-generator monomial algebras. In particular, we seek to improve an upper bound found by the last author. Our search lead us to a connection to de Bruijn graphs and a drastically improved bound.

Citation

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Eric Fredette. Dan Kubala. Eric Nelson. Kelsey Wells. Harold Ellingsen. "Growth functions of finitely generated algebras." Involve 8 (1) 71 - 74, 2015. https://doi.org/10.2140/involve.2015.8.71

Information

Received: 19 November 2012; Revised: 30 August 2013; Accepted: 31 August 2013; Published: 2015
First available in Project Euclid: 22 November 2017

zbMATH: 1314.16014
MathSciNet: MR3321711
Digital Object Identifier: 10.2140/involve.2015.8.71

Subjects:
Primary: 16P90 , 68R15

Keywords: de Bruijn graphs , growth of algebras

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.8 • No. 1 • 2015
MSP
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