Recollements of Singularity Categories and Monomorphism Categories

Abstract

We generalize results on existence of recollement situations of singularity categories of lower triangular Gorenstein algebras and stable monomorphism categories of Cohen–Macaulay modules.

Key Words:

• Monomorphism category
• Recollement
• Singularity category

2010 Mathematics Subject Classification:

• 18E30
• 18E35

ACKNOWLEDGMENTS

This work is inspired by some discussions with Changjian Fu. The authors thank him very much. Thanks also to Liangang Peng for his guidance and constant support. We are grateful to Peter J\ootrgensen for useful comments as well as to the anonymous referee for careful reading of the manuscript and very valuable suggestions which improve this paper a lot.

Notes

Communicated by D. Zacharia.