Sets of Lengths of Powers of a Variable
Commutative Algebra
2016-07-11 v1
Abstract
A positive integer k is a length of a polynomial if that polynomial factors into a product of k irreducible polynomials. We find the set of lengths of polynomials of the form x^n in R[x], where (R, m) is an Artinian local ring with m^2 = 0.
Keywords
Cite
@article{arxiv.1607.02236,
title = {Sets of Lengths of Powers of a Variable},
author = {Richard Belshoff and Daniel Kline and Mark W. Rogers},
journal= {arXiv preprint arXiv:1607.02236},
year = {2016}
}
Comments
To appear in the Rocky Mountain Journal of Mathematics