Displaying similar documents to “The Auslander translate of a short exact sequence”

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

Ibrahim Assem, Dan Zacharia (1999)

Colloquium Mathematicae

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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 H o m A ( Q , τ A M ) = 0 and M ⊗ A Q = 0 .