Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896164 | Journal of Algebra | 2018 | 21 Pages |
Abstract
Let A be a noetherian ring with total ring of fractions Q(A) and S=ânâZIntn a noetherian graded ring such that A[tâ1]âSâQ(A)[t,tâ1] and S satisfies the (S2) property of Serre. Under mild conditions on the ring A, we study the behavior of the sets of associated prime ideals Ass(A/Inâ©A) for nâ¥1. In particular, we consider the case when S is the S2-ification of the extended Rees algebra of an ideal I. As applications, we obtain several results regarding the asymptotic behavior of Ass(A/In) for certain ideals of analytic deviation one. We also prove several consequences about the symbolic powers of a prime ideal.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
CÄtÄlin CiupercÄ,