Asymptotic Periodicity of Primes Associated to Multigraded Modules

Futoshi Hayasaka

doi:10.1080/00927872.2013.774407

Asymptotic Periodicity of Primes Associated to Multigraded Modules

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

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 language	English
Pages (from-to)	2769-2778
Number of pages	10
Journal	Communications in Algebra
Volume	42
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2013.774407
Publication status	Published - Jun 1 2014
Externally published	Yes

Keywords

Associated prime
Cone
Grade
Module
Multigraded

ASJC Scopus subject areas

Algebra and Number Theory

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