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