On rings for which finitely generated ideals have only finitely many components
Commutative Algebra
2007-05-23 v1
Abstract
For a commutative ring R we investigate the property that the sets of minimal primes of finitely generated ideals of R is always finite. We prove this property passes to polynomial ring extensions (in an arbitrary number of variables) over R as well as to R-algebras which are finitely presented as R-modules.
Cite
@article{arxiv.math/0601566,
title = {On rings for which finitely generated ideals have only finitely many components},
author = {Thomas Marley},
journal= {arXiv preprint arXiv:math/0601566},
year = {2007}
}
Comments
4 pages