Back to Search
Start Over
The Recollements of Abelian Categories: Cotorsion Dimensions and Cotorsion Triples.
- Source :
-
Bulletin of the Iranian Mathematical Society . Jun2022, Vol. 48 Issue 3, p963-977. 15p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ABELIAN categories
*MATRICES (Mathematics)
*TORSION theory (Algebra)
Subjects
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 48
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 156859576
- Full Text :
- https://doi.org/10.1007/s41980-021-00557-z