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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2015; 52(5): 1051-1068

Printed September 1, 2015

https://doi.org/10.4134/JKMS.2015.52.5.1051

Copyright © The Korean Mathematical Society.

Almost split sequences for complexes via relative homology

Gang Yang

Lanzhou Jiaotong University

Abstract

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We use methods of relative homological algebra on the category $\mathcal{C}(\rm{mod}\Lambda)$, of complexes of finitely generated modules over an artin algebra $\Lambda$, to give some characterizations of almost split sequences.

Keywords: C-E exact sequences, Auslander-Reiten translations, almost split sequences, additive subbifunctors, non-degenerated bilinear forms

MSC numbers: 16G10, 16G70, 18E10, 18G25, 18G35

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