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- Title
The Recollements of Abelian Categories: Cotorsion Dimensions and Cotorsion Triples.
- Authors
Fu, Xuerong; Hu, Yonggang
- Abstract
In this paper, we study the cotorsion dimensions and cotorsion triples in the recollements of abelian categories. The main results are that recollements induce new (resp. complete hereditary) cotorsion triples from the middle category and that the cotorsion dimensions are bounded under certain conditions. As an application, the cotorsion triples in the recollements of module categories with respect to triangular matrix algebras are recovered.
- Publication
Bulletin of the Iranian Mathematical Society, 2022, Vol 48, Issue 3, p963
- ISSN
1018-6301
- Publication type
Academic Journal
- DOI
10.1007/s41980-021-00557-z