Almost Split Conflations for Complexes of Modules

Abstract

For an Artin algebra Λ, we study the existence of almost split conflations in the Frobenius category of cochain complexes of injective Λ-modules.

Keywords:

• Almost split conflation
• Auslander–Reiten
• Exact category

2000 Mathematics Subject Classification:

• 16G70
• 18G35

ACKNOWLEDGMENTS

The main part of this work was done during a stay at the University of Paderborn. This stay was made possible by a doctoral scholarship from the Asia-Link project “Algebras and Representations in China and Europe”. I express my gratitude to Prof. H. Krause for suggesting the topic and his guidance in writing the article. I would like to thank Prof. Y. B. Zhang for her encouragement. Also, I want to show my thanks to the referee for his (her) careful reading and pointing out Proposition 2.3 to me.

Notes

Communicated by D. Happel.