Full embeddings of almost split sequences over split-by-nilpotent extensions

Volume 81 / 1999

Ibrahim Assem, Dan Zacharia Colloquium Mathematicum 81 (1999), 21-31 DOI: 10.4064/cm-81-1-21-31


Let R be a split extension of an artin algebra A by a nilpotent bimodule $_A Q_A$, and let M be an indecomposable non-projective A-module. We show that the almost split sequences ending with M in mod A and mod R coincide if and only if $Hom_A (Q, τ_A M)$ = 0 and $M ⊗ _A Q = 0$.


  • Ibrahim Assem
  • Dan Zacharia

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