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arXiv · 1506.05210

Normal Sally modules of rank one

Phuong Tran Thi
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Abstract

In this paper, we explore the structure of the normal Sally modules of rank one with respect to an $m$-primary ideal in a Nagata reduced local ring which is not necessary Cohen-Macaulay. As an application of this result, when the base ring is Cohen-Macaulay analytically unramified, the extremal bound on the first normal Hilbert coefficient leads to the Cohen-Macaulayness of the associated graded rings with respect to a normal filtration.

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Phuong Tran Thi. 2015-06-17. Normal Sally modules of rank one. https://arxiv.org/abs/1506.05210

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