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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Département de mathématiques et d'informatique, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1 Canada
  2. Department of Mathematics, Syracuse University, Syracuse, NY 13244, U.S.A.

Abstract

Let R be a split extension of an artin algebra A by a nilpotent bimodule _AQA, 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 HomA(Q,τAM) = 0 and M⊗AQ=0.

Keywords

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

Bibliography

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Colloquium Mathematicum
1999/81/1
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Pages:
21-31
Main language of publication
English
Received
1998-11-30
Accepted
1998-12-10
Published
1999
Exact and natural sciences