3 papers
math.AC2016
Polynomials Inducing the Zero Function on Local Rings
Mark W. Rogers, Cameron Wickham
For a Noetherian local ring (R, m) having a finite residue field of cardinality q, we study the connections between the ideal Z(R) of R[x], which is the set of polynomials that van…
math.AC2010
Rings whose total graphs have genus at most one
Hamid Reza Maimani, Cameron Wickham, Siamak Yassemi
Let be a commutative ring with its set of zero-divisors. In this paper, we study the total graph of , denoted by $\T(Γ(R))$. It is the (undirected) graph with all el…
math.AC2008
A zero divisor graph determined by equivalence classes of zero divisors
Sandra Spiroff, Cameron Wickham
We study the zero divisor graph determined by equivalence classes of zero divisors of a commutative Noetherian ring R. We demonstrate how to recover information about R from this s…