Trace Ideals and the Gorenstein Property
classification
🧮 math.AC
keywords
idealtracegorensteinringannihilatorartiniancoincidescommutative
read the original abstract
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 module coincides with its double annihilator.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.