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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Characterization of discriminator varieties
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by Diego Vaggione PDF
Proc. Amer. Math. Soc. 129 (2001), 663-666 Request permission

Abstract:

We prove that a variety $\mathcal {V}$ is a discriminator variety if and only if $\mathcal {V}$ has the Fraser-Horn property and every member of $\mathcal {V}$ is representable as a Boolean product whose factors are directly indecomposable or trivial.
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Additional Information
  • Diego Vaggione
  • Affiliation: Facultad de Matemática, Astronomía y Física (FaMAF), Universidad Nacional de Córdoba - Ciudad Universitaria Córdoba 5000, Argentina
  • Email: vaggione@mate.uncor.edu
  • Received by editor(s): March 2, 1999
  • Received by editor(s) in revised form: May 14, 1999
  • Published electronically: August 30, 2000
  • Additional Notes: The author’s research was supported by CONICOR and SECYT (UNC)
  • Communicated by: Carl G. Jockusch, Jr.
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 663-666
  • MSC (2000): Primary 08A05, 08A30, 08A40, 08B10, 06E15
  • DOI: https://doi.org/10.1090/S0002-9939-00-05627-6
  • MathSciNet review: 1706965