The space of finitely generated rings
Commutative Algebra
2010-08-04 v1
Abstract
The space of marked commutative rings on n given generators is a compact metrizable space. We compute the Cantor-Bendixson rank of any member of this space. For instance, the Cantor-Bendixson rank of the free commutative ring on n generators is omega^n, where omega is the smallest infinite ordinal. More generally, we work in the space of finitely generated modules over a given commutative ring.
Keywords
Cite
@article{arxiv.0904.4216,
title = {The space of finitely generated rings},
author = {Yves Cornulier},
journal= {arXiv preprint arXiv:0904.4216},
year = {2010}
}
Comments
10 pages, no figure. To appear in Internat. J. Algebra Comput