Assistant Professor of Mathematics
On leave for the spring 2015 semester.
104 Searles Science Building
Obstructing extensions of the functor Spec to noncommutative rings, to appear in Israel J. Math., arXiv:1101.2239 [math.RA].
Noncommutative generalizations of theorems of Cohen and Kaplansky, to appear in Algebr. Represent. Theory, arXiv:1007.3701 [math.RA].
A one-sided Prime Ideal Principle for noncommutative rings, J. Alg. Appl. 9 (2010), no. 6, pp. 877 919.
Oka and Ako ideal families in commutative rings (with T. Y. Lam), Rings, Modules, and Rep- resentations, 263 288, Contemp. Math., 480, Amer. Math. Soc., Providence, RI, 2009.
A Prime Ideal Principle in commutative algebra (with T. Y. Lam), J. Algebra 319 (2008), no. 7, pp. 3006-3027.
Personal page: http://bowdoin.edu/~reyes/