EUDML | The Auslander translate of a short exact sequence

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

Generalized projectivity

Hana Jirásková, Josef Jirásko (1978)

Czechoslovak Mathematical Journal

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Characterizations of projective and $k$ -projective semimodules.

Al-Thani, Huda Mohammed J. (2002)

International Journal of Mathematics and Mathematical Sciences

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A remark on projectively closed purities

Ladislav Bican (1974)

Czechoslovak Mathematical Journal

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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 $M \otimes_{A} Q = 0$ .