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Torsion Pairs in Recollements of Abelian Categories
- Publication Year :
- 2017
- Publisher :
- arXiv, 2017.
-
Abstract
- For a recollement $(\mathcal{A},\mathcal{B},\mathcal{C})$ of abelian categories, we show that torsion pairs in $\mathcal{A}$ and $\mathcal{C}$ can induce torsion pairs in $\mathcal{B}$; and the converse holds true under certain conditions.<br />Comment: 15 pages
- Subjects :
- Pure mathematics
010102 general mathematics
Mathematics - Category Theory
01 natural sciences
Mathematics (miscellaneous)
Mathematics::K-Theory and Homology
Mathematics::Category Theory
0103 physical sciences
Converse
Torsion (algebra)
FOS: Mathematics
Category Theory (math.CT)
010307 mathematical physics
0101 mathematics
Abelian group
Representation Theory (math.RT)
Computer Science::Databases
Mathematics - Representation Theory
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....cfc056a1b5daa08b3245a7845e07b3e6
- Full Text :
- https://doi.org/10.48550/arxiv.1712.04710