Depth functions of powers of homogeneous ideals
نویسندگان
چکیده
We settle a conjecture of Herzog and Hibi, which states that the function depth $S/Q^n$, $n \ge 1$, where $Q$ is homogeneous ideal in polynomial ring $S$, can be any convergent numerical function. also give positive answer to long-standing open question Ratliff on associated primes powers ideals.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15083