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

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

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Keywords

Associated prime
Cone
Grade
Module
Multigraded

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

Hayasaka, F. (2014). Asymptotic Periodicity of Primes Associated to Multigraded Modules. Communications in Algebra, 42(6), 2769-2778. https://doi.org/10.1080/00927872.2013.774407

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Access to Document

10.1080/00927872.2013.774407