Asymptotic Periodicity of Primes Associated to Multigraded Modules

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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
Issue number6
Publication statusPublished - Jun 2014
Externally publishedYes


  • Associated prime
  • Cone
  • Grade
  • Module
  • Multigraded

ASJC Scopus subject areas

  • Algebra and Number Theory


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