Sets of lengths of powers of a variable

Authors

Richard Belshoff, Missouri State UniversityFollow
Daniel Kline, MSU Graduate Student
Mark W. Rogers, Missouri State UniversityFollow

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 xn in R[x], where (R;m) is an Artinian local ring with m2 = 0.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1216/RMJ-2019-49-3-729

Keywords

Artinian local ring, nonunique factorization, polynomial.

Publication Date

1-1-2019

Recommended Citation

Belshoff, Richard, Daniel Kline, and Mark W. Rogers. "Sets of lengths of powers of a variable." Rocky Mountain Journal of Mathematics 49, no. 3 (2019): 729-741.

Journal Title

Rocky Mountain Journal of Mathematics