PreprintCC0arXiv
Commutative coherent rings with 𝒢𝒫not⊆𝒢ℱ
Abstract
For every field k, we construct a commutative coherent k-algebra admitting a Gorenstein projective module that is not Gorenstein flat.
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BibTeX
@misc{zhang2026commutative,
title = {{Commutative coherent rings with $\mathcalGP\not\subseteq\mathcalGF$}},
author = {Chencheng Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.17748},
eprint = {2608.17748},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.17748},
note = {CC0},
}
RIS
TY - UNPB
TI - Commutative coherent rings with 𝒢𝒫not⊆𝒢ℱ
AU - Chencheng Zhang
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2608.17748
UR - https://arxiv.org/abs/2608.17748
AB - For every field k, we construct a commutative coherent k-algebra admitting a Gorenstein projective module that is not Gorenstein flat.
ER -