Cameron Wickham

Rings whose total graphs have genus at most one

Let

Classification of Rings with Genus One Zero-Divisor Graphs

R

A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors

be a commutative ring with

Local Rings with Genus Two Zero Divisor Graph

\Z(R)

The local cohomology modules of Matlis reflexive modules are almost cofinite

its set of zero-divisors. In this paper, we study the total graph of

A Note on Local Duality

R

Finiteness properties for matlis reflexive modules

, denoted by

Polynomials inducing the zero function on chain rings

\T(\Gamma(R))

An elementary construction of codes from the groups of units of residue rings of polynomials

. It is the (undirected) graph with all elements of

Rings whose zero-divisor graphs have positive genus

R