Basic sequences of homogeneous ideals in polynomial rings
type: Item
instance of: scholarly article
title: Basic sequences of homogeneous ideals in polynomial rings
zbMATH Open document ID: 0904.13009
author: Mutsumi Amasaki
published in: Journal of Algebra
publication date: 1999-01-04T00:00:00Z
review text: The author extends some of his results from his earlier paper [\textit{M. Amasaki}, J. Pure Appl. Algebra 114, No. 1, 1-23 (1996; Zbl 0876.13013)] to the case of more general rings than Buchsbaum rings. The author had developed a theory of ``Weierstrass basis'' for finitely generated modules over polynomial rings. This enables the author to give certain lower bounds for the degree of a \((p-1)\)-codimensional Cohen Macaulay graded quotient ring of the polynomial ring whose defining ideal is contained in a given ideal \(I\) of height at least two.
Mathematics Subject Classification ID: 13F20
zbMATH DE Number: 1014001
zbMATH Keywords: Weierstrass basis
zbMATH Keywords: polynomial rings
reviewed by: N. Mohan Kumar
MaRDI profile type: Publication
full work available at URL: jabr.1996.6905
OpenAlex ID: W2067863217
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DOI: 10.1006/JABR.1996.6905
description: scientific article; zbMATH DE number 1014001