Integral degree of a ring and reduction numbers

José M. Giral; Francesc Planas-Vilanova

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arXiv · 0706.3381

Integral degree of a ring and reduction numbers

José M. Giral·Francesc Planas-Vilanova

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Abstract

The supremum of reduction numbers of ideals having principal reductions is expressed in terms of the integral degree, a new invariant of the ring, which is finite provided the ring has finite integral closure. As a consequence, one obtains bounds for the Castelnuovo-Mumford regularity of the Rees algebra and for the Artin-Rees numbers.

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BibTeX RIS

José M. Giral, Francesc Planas-Vilanova. 2007-06-22. Integral degree of a ring and reduction numbers. https://arxiv.org/abs/0706.3381

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