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A Fitting criterion for quasi-Gorenstein local rings
Abstract
We prove that a Noetherian local ring R with canonical module ωR is quasi-Gorenstein if and only if Fitt1R(ωR) ≅ ωR. This settles the expectation of Eisenbud, Ficarra, Herzog, and Moradi on canonical ideals.
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BibTeX
@misc{miyashita2026fitting,
title = {{A Fitting criterion for quasi-Gorenstein local rings}},
author = {Sora Miyashita},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.03766},
eprint = {2608.03766},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.03766},
}
RIS
TY - UNPB
TI - A Fitting criterion for quasi-Gorenstein local rings
AU - Sora Miyashita
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2608.03766
UR - https://arxiv.org/abs/2608.03766
AB - 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) ≅ ω_R. This settles the expectation of Eisenbud, Ficarra, Herzog, and Moradi on canonical ideals.
ER -