Extriangulated factorization systems, $s$-torsion pairs and recollements

Published 6 Jul 2025 in math.CT | (2507.04220v1)

Abstract: We introduce extriangulated factorization systems in extriangulated categories and show that there exists a bijection between $s$-torsion pairs and extriangulated factorization systems. We also consider the gluing of $s$-torsion pairs and extriangulated factorization systems under recollements of extriangulated categories.

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