Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1395 ; Department of Mathematics, Colgate University, Hamilton, New York 13346-1398
Abstract:
We prove a uniqueness result about the factorization of a monic polynomial over a general commutative ring into comaximal factors. We apply this result to address several questions raised by Steve McAdam. These questions, inspired by Hensel's Lemma, concern properties of prime ideals and the factoring of monic polynomials modulo prime ideals.