Results on the Hilbert coefficients and reduction numbers

Amir Mafi; Dler Naderi

Results on the Hilbert coefficients and reduction numbers

Commutative Algebra 2018-12-03 v3 Algebraic Geometry

Authors: Amir Mafi , Dler Naderi

Abstract

Let $(R,\frak{m})$ be a $d$ -dimensional Cohen-Macaulay local ring, $I$ an $\frak{m}$ -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 give some examples in this regards.

Keywords

hilbert functions commutative algebra monomial ideals

Cite

@article{arxiv.1707.09843,
  title  = {Results on the Hilbert coefficients and reduction numbers},
  author = {Amir Mafi and Dler Naderi},
  journal= {arXiv preprint arXiv:1707.09843},
  year   = {2018}
}

Comments

accepted for publication in the Proceedings Mathematical Sciences

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