Many associated primes of powers of primes

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:223

Article

Kim, Jesse¹  Swanson, Irena² 

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

[2] Reed Coll, 3203 SE Woodstock Blvd, Portland, OR 97202 USA

关键词: Primary decomposition;    Powers of ideals;    Rees algebra;    Extended Rees algebra;    Rees-like algebra;    Polynomial rings;   

DOI  :  10.1016/j.jpaa.2019.02.020

来源: Elsevier

【 摘 要 】

We construct families of prime ideals in polynomial rings for which the number of associated primes of the second power (or higher powers) is exponential in the number of variables in the ring. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free