Asymptotic periodicity of grade associated to multigraded modules

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2 Citations (Scopus)


Let R be a Noetherian ℕ r-graded ring generated in degrees d 1,..., d r which are linearly independent vectors over ℝ, and let a be an ideal in R 0. In this paper, we investigate the asymptotic behavior of the grade of the ideal a on the homogeneous components M n of a finitely generated ℤ r-graded R-module M and show that the periodicity occurs in a cone.

Original languageEnglish
Pages (from-to)2279-2284
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number7
Publication statusPublished - 2012
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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