A Dedekind-Mertens theorem for power series rings
Commutative Algebra
2014-10-09 v2
Abstract
We prove a power series ring analogue of the Dedekind-Mertens lemma. Along the way, we give limiting counterexamples, we note an application to integrality, and we correct an error in the literature.
Cite
@article{arxiv.1402.1100,
title = {A Dedekind-Mertens theorem for power series rings},
author = {Neil Epstein and Jay Shapiro},
journal= {arXiv preprint arXiv:1402.1100},
year = {2014}
}
Comments
Added two references, as per referee's request. 9 pages, to appear in Proc. Amer. Math. Soc