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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On homomorphisms from a fixed representation to a general representation of a quiver
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by William Crawley-Boevey PDF
Trans. Amer. Math. Soc. 348 (1996), 1909-1919 Request permission

Abstract:

We study the dimension of the space of homomorphisms from a given representation $X$ of a quiver to a general representation of dimension vector $\beta$. We prove a theorem about this number, and derive two corollaries concerning its asymptotic behaviour as $\beta$ increases. These results are related to work of A. Schofield on homological epimorphisms from the path algebra to a simple artinian ring.
References
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Additional Information
  • William Crawley-Boevey
  • Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England
  • MR Author ID: 230720
  • Email: w.crawley-boevey@leeds.ac.uk
  • Received by editor(s): July 21, 1995
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 1909-1919
  • MSC (1991): Primary 16G20; Secondary 14M15
  • DOI: https://doi.org/10.1090/S0002-9947-96-01586-3
  • MathSciNet review: 1348149