English

Topological properties of localizations, flat overrings and sublocalizations

Commutative Algebra 2018-05-29 v1

Abstract

We study the set of localizations of an integral domain from a topological point of view, showing that it is always a spectral space and characterizing when it is a proconstructible subspace of the space of all overrings. We then study the same problems in the case of quotient rings, flat overrings and sublocalizations.

Keywords

Cite

@article{arxiv.1805.10901,
  title  = {Topological properties of localizations, flat overrings and sublocalizations},
  author = {Dario Spirito},
  journal= {arXiv preprint arXiv:1805.10901},
  year   = {2018}
}

Comments

to appera in the Journal of Pure and Applied Aplgebra