Jaffard families and localizations of star operations
Commutative Algebra
2016-10-06 v1
Abstract
We generalize the concept of localization of a star operation to flat overrings; subsequently, we investigate the possibility of representing the set of star operations on as the product of , as ranges in a family of overrings of with special properties. We then apply this method to study the set of star operations on a Pr\"ufer domain , in particular the set of stable star operations and the star-class groups of .
Keywords
Cite
@article{arxiv.1610.01442,
title = {Jaffard families and localizations of star operations},
author = {Dario Spirito},
journal= {arXiv preprint arXiv:1610.01442},
year = {2016}
}
Comments
To appear in the Journal of Commutative Algebra