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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The kernel of an irreducible map
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by Henning Krause PDF
Proc. Amer. Math. Soc. 121 (1994), 57-66 Request permission

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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Additional Information
  • © Copyright 1994 American Mathematical Society
  • 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