The kernel of an irreducible map

Author:
Henning Krause

Journal:
Proc. Amer. Math. Soc. **121** (1994), 57-66

MSC:
Primary 16G70

DOI:
https://doi.org/10.1090/S0002-9939-1994-1181169-8

MathSciNet review:
1181169

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Abstract: Let 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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DOI:
https://doi.org/10.1090/S0002-9939-1994-1181169-8

Article copyright:
© Copyright 1994
American Mathematical Society