Construction of Auslander–Gorenstein local rings as Frobenius extensions
Volume 141 / 2015
Colloquium Mathematicum 141 (2015), 1-11
MSC: Primary 16S35, 16S50; Secondary 16E10.
DOI: 10.4064/cm141-1-1
Abstract
Starting from an arbitrary ring $R$ we provide a systematic construction of $\mathbb {Z}/n\mathbb {Z}$-graded rings $A$ which are Frobenius extensions of $R$, and show that under mild assumptions, $A$ is an Auslander–Gorenstein local ring if and only if so is $R$.
