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

• Autorzy: Ibrahim Assem , Dan Zacharia
• Języki publikacji: EN

Abstrakty

EN

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 $M ⊗ _A Q = 0$.

Słowa kluczowe

EN

Auslan-der-Reiten translate   split-by-nilpotent extension   almost split sequence  

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 81
• Numer: 1
• Strony: 21-31

Daty

wydano

1999

otrzymano

1998-11-30

poprawiono

1998-12-10

Twórcy

autor

Ibrahim Assem

• Département de mathématiques et d'informatique, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1 Canada

autor

Dan Zacharia

• Department of Mathematics, Syracuse University, Syracuse, NY 13244, U.S.A.

Bibliografia

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