A topological version of Hilbert's Nullstellensatz
Commutative Algebra
2016-05-11 v1 Algebraic Geometry
Abstract
We prove that the space of radical ideals of a ring , endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the nonempty Zariski closed subspaces of Spec, endowed with a Zariski-like topology.
Cite
@article{arxiv.1605.03105,
title = {A topological version of Hilbert's Nullstellensatz},
author = {Carmelo A. Finocchiaro and Marco Fontana and Dario Spirito},
journal= {arXiv preprint arXiv:1605.03105},
year = {2016}
}
Comments
J. Algebra (to appear)