Factoring formal power series over principal ideal domains
Commutative Algebra
2012-06-28 v4 Number Theory
Abstract
We provide an irreducibility test and factoring algorithm (with some qualifications) for formal power series in the unique factorization domain , where is any principal ideal domain. We also classify all integral domains arising as quotient rings of . Our main tool is a generalization of the -adic Weierstrass preparation theorem to the context of complete filtered commutative rings.
Keywords
Cite
@article{arxiv.1107.4860,
title = {Factoring formal power series over principal ideal domains},
author = {Jesse Elliott},
journal= {arXiv preprint arXiv:1107.4860},
year = {2012}
}
Comments
23 pages. Final version