Year: 2026
Type: preprint
Abstract: We prove that a Noetherian local ring $R$ with canonical module $ω_R$ is quasi-Gorenstein if and only if $\Fitt_1^R(ω_R) \cong ω_R$. This settles the expectation of Eisenbud, Ficarra, Herzog, and Moradi on canonical ideals.
Source: arXiv (Cornell University)
Author: Miyashita, Sora
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7172511640