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Author:

Fu, Xuerong (Fu, Xuerong.) | Hu, Yonggang (Hu, Yonggang.)

Indexed by:

Scopus SCIE

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.

Keyword:

Recollement Cotorsion triple Cotorsion dimension Abelian category

Author Community:

  • [ 1 ] [Fu, Xuerong]Heze Univ, Coll Math & Stat, Heze 274015, Shandong, Peoples R China
  • [ 2 ] [Hu, Yonggang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Hu, Yonggang]Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada

Reprint Author's Address:

  • [Fu, Xuerong]Heze Univ, Coll Math & Stat, Heze 274015, Shandong, Peoples R China

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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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