2 papers
math.AC2018
Trace Ideals and the Gorenstein Property
Haydee Lindo, Nina Pande
Let R be a local Noetherian commutative ring. We prove that R is an Artinian Gorenstein ring if and only if every ideal in R is a trace ideal. We discuss when the trace ideal of a…
math.AC2016
Completely Controlling the Dimensions of Formal Fiber Rings at Prime Ideals of Small Height
Sarah M. Fleming, Lena Ji, S. Loepp +3
Let be a complete equicharacteristic local (Noetherian) UFD of dimension or greater. Assuming that , where is the maximal ideal of , we construct a loca…