Two questions on polynomial decomposition
Commutative Algebra
2013-01-23 v1 Number Theory
Abstract
Given a univariate polynomial f(x) over a ring R, we examine when we can write f(x) as g(h(x)) where g and h are polynomials of degree at least 2. We answer two questions of Gusic regarding when the existence of such g and h over an extension of R implies the existence of such g and h over R. We also pose two new questions along these lines.
Cite
@article{arxiv.1301.5211,
title = {Two questions on polynomial decomposition},
author = {Brian Wyman and Michael Zieve},
journal= {arXiv preprint arXiv:1301.5211},
year = {2013}
}
Comments
7 pages