Date of Graduation
Spring 2011
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Mark Rogers
Abstract
Factorization in Z_p^n[x] is patently non-unique. In this paper we examine properties of what we call generalized Eisenstein polynomials in Z_p^2[x]. We prove an irreducibility result and compute the set of lengths of every generalized Eisenstein polynomial in Z_p^2[x].
Keywords
sets of lengths, non-unique factorization, irreducible, Eisenstein polynomials, powers of x
Subject Categories
Mathematics
Copyright
© Daniel B. Kline
Recommended Citation
Kline, Daniel B., "Sets of Lengths Over Residue Class Rings of the Integers" (2011). MSU Graduate Theses/Dissertations. 1638.
https://bearworks.missouristate.edu/theses/1638
