Abstract
Let be a -dimensional Cohen–Macaulay local ring, be an -primary ideal of and let be a minimal reduction of . We show that if, for or , and , then . Moreover, we prove that if , or if and is integrally closed, then , where the integers are the Hilbert coefficients of . In addition, if is a minimal reduction of then we prove that the reduction number is independent of .
Citation
Amir Mafi. Dler Naderi. "On the Hilbert coefficients, depth of associated graded rings and reduction numbers." J. Commut. Algebra 13 (1) 103 - 115, Spring 2021. https://doi.org/10.1216/jca.2021.13.103
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