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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Algebras with cycle-finite Galois coverings
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by José A. de la Peña and Andrzej Skowroński PDF
Trans. Amer. Math. Soc. 363 (2011), 4309-4336 Request permission

Abstract:

We prove that the finite dimensional algebras over an algebraically closed field which admit cycle-finite Galois coverings with torsion-free Galois groups are of tame representation type, and derive some consequences.
References
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Additional Information
  • José A. de la Peña
  • Affiliation: Instituto de Matemáticas, UNAM, Ciudad Universitaria, 04510 México, D.F. México
  • Email: jap@matem.unam.mx
  • Andrzej Skowroński
  • Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  • Email: skowron@mat.uni.torun.pl
  • Received by editor(s): June 25, 2009
  • Received by editor(s) in revised form: November 19, 2009
  • Published electronically: March 1, 2011
  • Additional Notes: Both authors acknowledge support from the Consejo Nacional de Ciencia y Technologia of Mexico.
    The second author has also been supported by the research grant no. N N201 269135 of the Polish Ministry of Science and Higher Education.
  • © Copyright 2011 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 4309-4336
  • MSC (2010): Primary 16G60, 16G70
  • DOI: https://doi.org/10.1090/S0002-9947-2011-05256-6
  • MathSciNet review: 2792989