Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On homomorphisms from a fixed representation to a general representation of a quiver
HTML articles powered by AMS MathViewer

by William Crawley-Boevey PDF
Trans. Amer. Math. Soc. 348 (1996), 1909-1919 Request permission


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.
  • N. Bourbaki, Algèbre Commutative, Hermann, Paris, 1961–83.
  • Michel Demazure and Pierre Gabriel, Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs, Masson & Cie, Éditeurs, Paris; North-Holland Publishing Co., Amsterdam, 1970 (French). Avec un appendice Corps de classes local par Michiel Hazewinkel. MR 0302656
  • D. Eisenbud, Commutative algebra with a view toward algebraic geometry, Graduate Texts in Math. 150, Springer-Verlag, New York, 1995.
  • Claudio Procesi, Rings with polynomial identities, Pure and Applied Mathematics, vol. 17, Marcel Dekker, Inc., New York, 1973. MR 0366968
  • A. H. Schofield, Representation of rings over skew fields, London Mathematical Society Lecture Note Series, vol. 92, Cambridge University Press, Cambridge, 1985. MR 800853, DOI 10.1017/CBO9780511661914
  • Aidan Schofield, General representations of quivers, Proc. London Math. Soc. (3) 65 (1992), no. 1, 46–64. MR 1162487, DOI 10.1112/plms/s3-65.1.46
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 16G20, 14M15
  • Retrieve articles in all journals with MSC (1991): 16G20, 14M15
Additional Information
  • William Crawley-Boevey
  • Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England
  • MR Author ID: 230720
  • Email:
  • 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:
  • MathSciNet review: 1348149