Three uniform properties in noetherian rings

Francesc Planas¹

Universitat Politecnica Catalunya

In this talk we discuss the uniformity property for the Artin-Rees lemma, the relation type and the integral degree. We outline the way they are related to each other and present some uniform bounds. In doing so we will need to present part of the results in terms of the intersection of two overrings. Finally, we suggest some open problems related to the subject.

Footnotes

... Planas¹

joint work with José Ma. Giral