Date of Graduation
Master of Science in Mathematics
sets of lengths, non-unique factorization, irreducible, Eisenstein polynomials, powers of x
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].
© Daniel B. Kline
Kline, Daniel B., "Sets of Lengths Over Residue Class Rings of the Integers" (2011). MSU Graduate Theses. 1638.