A family of graded modules associated to a module

Futoshi Hayasaka, Eero Hyry

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this article we introduce a certain family of graded modules associated to a given module. These modules provide a natural extension of the notion of the associated graded ring of an ideal. We will investigate their properties. In particular, we will try to extend Ree' theorem on the associated graded ring of an ideal generated by a regular sequence to this context.

Original languageEnglish
Pages (from-to)4201-4217
Number of pages17
JournalCommunications in Algebra
Volume36
Issue number11
DOIs
Publication statusPublished - Nov 1 2008
Externally publishedYes

Keywords

  • Associated graded ring
  • Module
  • Rees algebra
  • Regular sequence

ASJC Scopus subject areas

  • Algebra and Number Theory

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