Date of Defense
Joseph Buckley, Mathematics and Statistics
Michael Slack, Mathematics and Statistics
This paper explores (1) the set of units of Zj[x] where j is square-free set of units of Zj, and (2) the set of the units of Zn[x] where n is not square-free and is a set of polynomials f(x) = a0 + g(x) where a0 is a unit in Zn and g(x) is a nilpotent in Zn[x] (i.e., f(x) = a0 + a1x + ... + atxt where a0 is a unit and all the other coefficients are nilpotent in Zn).
Kobayashi, Hitomi, "Units of a Ring of Polynomials" (1997). Honors Theses. 280.
Honors Thesis-Campus Only