Year: 2020
Type: article
Abstract: We settle a conjecture of Herzog and Hibi, which states that the function d e p t h S / Q n \mathrm {depth}\, S/Q^n , n ≥ 1 n \ge 1 , where Q Q is a homogeneous ideal in a polynomial ring S S , can be any convergent numerical function. We also give a positive answer to a longstanding open question of Ratliff on the associated primes of powers of ideals.
DOI: 10.1090/proc/15083
Authors: Huy Hà, Hop Nguyen, Ngo Trung, Tran Trung
Language: Latvian
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2940028988