Completions of Countable Excellent Domains and Countable Noncatenary Domains
Commutative Algebra
2020-05-15 v1
Abstract
We find necessary and sufficient conditions for a complete local ring containing the rationals to be the completion of a countable excellent local (Noetherian) domain. Furthermore, we find necessary and sufficient conditions for a complete local ring to be the completion of a countable noncatenary local domain, as well as necessary and sufficient conditions for it to be the completion of a countable noncatenary local unique factorization domain.
Keywords
Cite
@article{arxiv.2005.06911,
title = {Completions of Countable Excellent Domains and Countable Noncatenary Domains},
author = {S. Loepp and Teresa Yu},
journal= {arXiv preprint arXiv:2005.06911},
year = {2020}
}
Comments
16 pages