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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


The kernel of an irreducible map

Author: Henning Krause
Journal: Proc. Amer. Math. Soc. 121 (1994), 57-66
MSC: Primary 16G70
MathSciNet review: 1181169
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Abstract: Let $ 0 \to A \to B\xrightarrow{g}C \to 0$ be a short exact sequence in the category of finitely generated modules over an artin algebra. Suppose also that the map g is irreducible. Following a conjecture of Brenner, we discuss the property of the indecomposable module A to be the starting term of an almost split sequence with indecomposable middle term.

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PII: S 0002-9939(1994)1181169-8
Article copyright: © Copyright 1994 American Mathematical Society