On Pure Silting Complexes

Abstract

The authors introduce the concept of pure silting complexes and study their main properties. This concept generalizes silting complexes in pure derived category. They also show Bazzoni’s characterization of the pure silting complexes and characterize 2-term pure silting complexes by the connections with the t-structure and torsion pair. Furthermore, they give the Brenner-Butler Theorem about 2-term pure silting complexes.

Keywords

Pure silting complex / Pure derived category / t-structure / Torsion pair / 16E35 / 18E30 / 16D90 / 18G25

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