Tootfinder

This https://arxiv.org/abs/2403.05232 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Chains of model structures arising from modules of finite Gorenstein dimension
Let $n$ be a non-negative integer. For any ring $R$, the pair \ $(\mathcal {PGF}_n, \ \mathcal P_n^\perp \cap \mathcal {PGF}^{\perp})$ proves to be a complete and hereditary cotorsion pair in $R$-Mod, where $\mathcal {PGF}$ is the class of PGF modules, introduced by J. Šaroch and J. Štovíček, and \ $\mathcal {PGF}_n$ is the class of $R$-modules of PGF dimension $\le n$. For Artin algebra $R$, it is proved that \ $(\mathcal {GP}_n, \ \mathcal P_n^\perp \cap \mathcal P^{<\infty})$ is a comple…

Chains of model structures arising from modules of finite Gorenstein dimension
Nan Gao, Xue-Song Lu, Pu Zhang
https://arxiv.org/abs/2403.05232 https://

Chains of model structures arising from modules of finite Gorenstein dimension
Let $n$ be a non-negative integer. For any ring $R$, the pair \ $(\mathcal {PGF}_n, \ \mathcal P_n^\perp \cap \mathcal {PGF}^{\perp})$ proves to be a complete and hereditary cotorsion pair in $R$-Mod, where $\mathcal {PGF}$ is the class of PGF modules, introduced by J. Šaroch and J. Štovíček, and \ $\mathcal {PGF}_n$ is the class of $R$-modules of PGF dimension $\le n$. For Artin algebra $R$, it is proved that \ $(\mathcal {GP}_n, \ \mathcal P_n^\perp \cap \mathcal P^{<\infty})$ is a comple…