Hilbert series of finitely presented algebras
Let l denote the collection of all Hilbert series of finitely presented connected graded algebras over a field k. What can we say about the set l? This paper addresses itself to that question. In 1974 Govorov [Go-2] conjectured that only rational power series belonged to l. This conjecture was first disproved by Shearer [Sh], using methods which we will generalize and extend in this paper. We will also show that the set l is countable and derive some of its properties.
KeywordsLocal Ring Algebra Structure Hilbert Series Homogeneous Element Grade Vector Space
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