Hilbert polynomials over Artinian rings
type: Item
instance of: scholarly article
title: Hilbert polynomials over Artinian rings
zbMATH Open document ID: 0956.13002
author: Cristina Blancafort
author: Scott Nollet
published in: Illinois Journal of Mathematics
publication date: 2001-03-04T00:00:00Z
review text: A standard algebra over a commutative Artinian ring \(R_{0}\) is a graded ring \(S\) that is finitely generated as \(R_{0}=S_{0}\)-algebra by elements of degree one. The authors characterize the Hilbert functions and Hilbert polynomials of such algebras, thereby continuing a program begun by \textit{F. S. Macaulay} [Proc. Lond. Math. Soc., II. Ser. 26, 531-555 (1927; JFM 53.0104.01)]. Results of \textit{G. Gotzmann} [Math. Z. 158, 61-70 (1978; Zbl 0352.13009)] are suitably extended.
Mathematics Subject Classification ID: 13D40
Mathematics Subject Classification ID: 13E10
Mathematics Subject Classification ID: 13A02
zbMATH DE Number: 1333068
zbMATH Keywords: Hilbert function
zbMATH Keywords: Hilbert polynomial
zbMATH Keywords: standard algebra
zbMATH Keywords: Artinian ring
reviewed by: William H. Gustafson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1333068