Asymptotic Periodicity of Primes Associated to Multigraded Modules

Futoshi Hayasaka

Research output: Contribution to journal › Article

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 2014
Externally publishedYes

Fingerprint

Associated Primes
Periodicity
Asymptotic Behavior
Module
Graded Ring
Noetherian Ring
Cone

Keywords

  • Associated prime
  • Cone
  • Grade
  • Module
  • Multigraded

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Asymptotic Periodicity of Primes Associated to Multigraded Modules. / Hayasaka, Futoshi.

In: Communications in Algebra, Vol. 42, No. 6, 06.2014, p. 2769-2778.

Research output: Contribution to journal › Article

Hayasaka, F 2014, 'Asymptotic Periodicity of Primes Associated to Multigraded Modules', Communications in Algebra, vol. 42, no. 6, pp. 2769-2778. https://doi.org/10.1080/00927872.2013.774407
Hayasaka F. Asymptotic Periodicity of Primes Associated to Multigraded Modules. Communications in Algebra. 2014 Jun;42(6):2769-2778. https://doi.org/10.1080/00927872.2013.774407
Hayasaka, Futoshi. / Asymptotic Periodicity of Primes Associated to Multigraded Modules. In: Communications in Algebra. 2014 ; Vol. 42, No. 6. pp. 2769-2778.
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