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.
|Number of pages||6|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 2012|
ASJC Scopus subject areas
- Applied Mathematics