English

Model structures and recollements induced by duality pairs

Rings and Algebras 2021-08-03 v1

Abstract

We give some equivalent characterizations of GP\mathcal{GP}, the class of Gorenstein (L,A)(\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 (L,A)(\mathcal{L}, \mathcal{A})-projective modules and obtain some equivalent characterizations of them. Also, some model structures and recollements associated to strongly Gorenstein (L,A)(\mathcal{L}, \mathcal{A})-projective modules are constructed.

Keywords

Cite

@article{arxiv.2108.00140,
  title  = {Model structures and recollements induced by duality pairs},
  author = {Wenjing Chen and Ling Li and Yanping Rao},
  journal= {arXiv preprint arXiv:2108.00140},
  year   = {2021}
}
R2 v1 2026-06-24T04:42:32.389Z