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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.
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Source :
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
ISSN: 1017-060X
Year: 2021
Issue: 3
Volume: 48
Page: 963-977
0 . 7 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:31
JCR Journal Grade:3
Cited Count:
WoS CC Cited Count: 1
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
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