Factoring formal power series over principal ideal domains

Details Factoring formal power series over principal ideal domains Factoring formal power series over principal ideal domains

2011-07-25

arxiv.org/abs/1107.4860v3

Mathematics

Commutative Algebra

24 pages. A few more changes and corrections from the previous version. The paper is now submitted

Scientific paper

We provide an irreducibility test and factoring algorithm (with some qualificiations) for formal power series in the unique factorization domain $R[[X]]$, where $R$ is any principal ideal domain. We also classify all integral domains arising as quotient rings of $R[[X]]$. Our main tool is a generalization of the $p$-adic Weierstrass preparation theorem to the context of complete filtered commutative rings.

Affiliated with

Also associated with

No associations

Rating

Factoring formal power series over principal ideal domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Factoring formal power series over principal ideal domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factoring formal power series over principal ideal domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-572149