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 |
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Pages (from-to) | 2769-2778 |
Number of pages | 10 |
Journal | Communications in Algebra |
Volume | 42 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jun 2014 |
Externally published | Yes |
Keywords
- Associated prime
- Cone
- Grade
- Module
- Multigraded
ASJC Scopus subject areas
- Algebra and Number Theory