Sets of Lengths of Powers of a Variable
arXiv:1607.02236
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.
To appear in the Rocky Mountain Journal of Mathematics