Chinese Remainder Approximation Theorem
General Topology
2016-07-05 v3 Rings and Algebras
Abstract
We study a topological generalization of ideal co-maximality in topological rings and present some of its properties, including a generalization of the Chinese remainder theorem. Using the hyperspace uniformity, we prove a stronger version of this theorem concerning infinitely many ideals in supercomplete, pseudo-valuated rings. Finally we prove two interpolation theorems.
Cite
@article{arxiv.1509.02188,
title = {Chinese Remainder Approximation Theorem},
author = {Matan Komisarchik},
journal= {arXiv preprint arXiv:1509.02188},
year = {2016}
}
Comments
22 pages