Abstract
Let \((R,\mathfrak {m})\) be a d-dimensional Cohen–Macaulay local ring, I an \(\mathfrak {m}\)-primary ideal and J a minimal reduction of I. In this paper we study the independence of reduction ideals and the behavior of the higher Hilbert coefficients. In addition, we also give some examples.
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The authors would like to thank the referee for a careful reading of the manuscript and for providing helpful suggestions.
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Mafi, A., Naderi, D. Results on the Hilbert coefficients and reduction numbers. Proc Math Sci 129, 60 (2019). https://doi.org/10.1007/s12044-019-0510-z
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DOI: https://doi.org/10.1007/s12044-019-0510-z