A family of graded modules associated to a module

Futoshi Hayasaka; Eero Hyry

doi:10.1080/00927870802177291

A family of graded modules associated to a module

Futoshi Hayasaka, Eero Hyry

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	4201-4217
Number of pages	17
Journal	Communications in Algebra
Volume	36
Issue number	11
DOIs	https://doi.org/10.1080/00927870802177291
Publication status	Published - Nov 2008
Externally published	Yes

Keywords

Associated graded ring
Module
Rees algebra
Regular sequence

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870802177291

Cite this

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keywords = "Associated graded ring, Module, Rees algebra, Regular sequence",

author = "Futoshi Hayasaka and Eero Hyry",

note = "Funding Information: The work on this article began while the first author visited the University of Helsinki in the summer of 2005. He thanks the University for the support and the hospitality during his stay. The authors thank Yuji Kamoi for his useful comments that have improved this article. In particular, Section 4 was improved by his suggestions. The authors were partly supported by the Academy of Finland, project 48556. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

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AU - Hyry, Eero

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N2 - 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.

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KW - Module

KW - Rees algebra

KW - Regular sequence

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ER -

A family of graded modules associated to a module

Abstract

Keywords

ASJC Scopus subject areas

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