Date of Graduation

Spring 2011

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

Mark Rogers

Keywords

sets of lengths, non-unique factorization, irreducible, Eisenstein polynomials, powers of x

Subject Categories

Mathematics

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].

Copyright

© Daniel B. Kline

Campus Only

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