Betti numbers under small perturbations
نویسندگان
چکیده
We study how Betti numbers of ideals in a local ring change under small perturbations. Given p ? N and given an ideal I Noetherian ( R , m ) our main result states that there exists > 0 such if J is with ? mod the same Hilbert function as then ? i / coincide for ? . Moreover, we present several cases which forced to have therefore numbers.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.12.004