Graded Buchsbaum algebras and Segre products
type: Item
instance of: scholarly article
title: Graded Buchsbaum algebras and Segre products
zbMATH Open document ID: 0696.13016
author: Chikashi Miyazaki
published in: Tokyo Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: This paper is devoted to the study of the Buchsbaum property in terms of certain spectral sequences and the application of this method to the investigation of Buchsbaum conditions for the Segre product of graded modules. In section 1, the author introduces and studies the notion of r-Buchsbaum modules. Section 2 is the homogeneous version of section 1. Section 3 is devoted to the study of some examples, which give the motivation for the main theorems. In section 4 one proves: theorem A, which gives necessary and sufficient conditions for the Segre product of graded modules (in some hypothesis) to have the Buchsbaum property, theorem B, which gives sufficient conditions for the same conclusion (previous results in this direction were obtained by Stückrad and Vogel and by Schenzel) and theorem C, which presents counterexamples.
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13D03
Mathematics Subject Classification ID: 13C13
zbMATH DE Number: 4139908
zbMATH Keywords: spectral sequences
zbMATH Keywords: Buchsbaum property
zbMATH Keywords: Segre product of graded modules
reviewed by: Vasile Brînzănescu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270133544
OpenAlex ID: W2093778792
DOI: 10.3836/TJM/1270133544
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description: scientific article; zbMATH DE number 4139908