The Golod Shafarevich counter-example without Hilbert series

Details The Golod Shafarevich counter-example without Hilbert series The Golod Shafarevich counter-example without Hilbert series

2009-01-11

arxiv.org/abs/0901.1426v1

Mathematics

Rings and Algebras

Scientific paper

Let $F$ be an arbitrary field. The Golod-Shafarevich example of a finitely
generated nil $F$-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.

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