The Golod Shafarevich counter-example without Hilbert series
Rings and Algebras
2009-01-13 v1
Abstract
Let be an arbitrary field. The Golod-Shafarevich example of a finitely generated nil -algebra which is infinite dimensional -- is revisited. Here we offer a rather elementary treatment of that example, in which induction replaces Hilbert series techniques. This note also contains a detailed exposition of the construction of that example.
Keywords
Cite
@article{arxiv.0901.1426,
title = {The Golod Shafarevich counter-example without Hilbert series},
author = {Alon Regev and Amitai Regev},
journal= {arXiv preprint arXiv:0901.1426},
year = {2009}
}