Asymptotic Periodicity of Primes Associated to Multigraded Modules

Research output: Contribution to journalArticle

Abstract

In this paper, we investigate the asymptotic behavior of the set of primes associated to a graded ring extension of Noetherian multigraded rings and modules, and prove that the periodicity occurs in a cone. We also prove the same asymptotic behavior of the grade. The previous known results on this subject are recovered as a special case.

Original languageEnglish
Pages (from-to)2769-2778
Number of pages10
JournalCommunications in Algebra
Volume42
Issue number6
DOIs
Publication statusPublished - Jun 1 2014
Externally publishedYes

Keywords

  • Associated prime
  • Cone
  • Grade
  • Module
  • Multigraded

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Asymptotic Periodicity of Primes Associated to Multigraded Modules'. Together they form a unique fingerprint.

  • Cite this