Model structures and recollements induced by duality pairs

W Chen, L Li, Y Rao - arXiv preprint arXiv:2108.00140, 2021 - arxiv.org
W Chen, L Li, Y Rao
arXiv preprint arXiv:2108.00140, 2021arxiv.org
We give some equivalent characterizations of $\mathcal {GP} $, the class of Gorenstein
$(\mathcal {L},\mathcal {A}) $-projective modules, and construct some model structures
associated to duality pairs and Frobenius pairs. Moreover, some rings are described by
Frobenius pairs. Meanwhile, we investigate strongly Gorenstein $(\mathcal {L},\mathcal {A})
$-projective modules and obtain some equivalent characterizations of them. Also, some
model structures and recollements associated to strongly Gorenstein $(\mathcal {L},\mathcal …
We give some equivalent characterizations of , the class of Gorenstein -projective modules, and construct some model structures associated to duality pairs and Frobenius pairs. Moreover, some rings are described by Frobenius pairs. Meanwhile, we investigate strongly Gorenstein -projective modules and obtain some equivalent characterizations of them. Also, some model structures and recollements associated to strongly Gorenstein -projective modules are constructed.
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