English

A filtration of the Sally module and the First normal Hilbert Coefficient

Commutative Algebra 2017-11-21 v1

Abstract

The Sally module of an ideal is an important tool to interplay between Hilbert coefficients and the properties of the associated graded ring. In this paper we give new insights on the structure of the Sally module. We apply these results characterizing the almost minimal value of the first Hilbert coefficient in the case of the normal filtration in an analytically unramified Cohen-Macaulay local ring.

Keywords

Cite

@article{arxiv.1711.06868,
  title  = {A filtration of the Sally module and the First normal Hilbert Coefficient},
  author = {Shreedevi K. Masuti and Kazuho Ozeki and Maria Evelina Rossi},
  journal= {arXiv preprint arXiv:1711.06868},
  year   = {2017}
}

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15 pages