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MODEL STRUCTURES AND RECOLLEMENTS INDUCED BY DUALITY PAIRS
Wenjing Chen,Lingling Zhao,Yanping Rao 대한수학회 2023 대한수학회보 Vol.60 No.2
Let $(\mathcal{L}, \mathcal{A})$ be a complete duality pair. We give some equivalent characterizations of Gorenstein $(\mathcal{L}, \mathcal{A})$-projective modules and construct some model structures associated to duality pairs and Frobenius pairs. Some rings are described by Frobenius pairs. In addition, we investigate special Gorenstein $(\mathcal{L}, \mathcal{A})$-projective modules and construct some model structures and recollements associated to them.