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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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Modular varieties with the Fraser-Horn property
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by Diego Vaggione PDF
Proc. Amer. Math. Soc. 127 (1999), 701-708 Request permission

Abstract:

The notion of central idempotent elements in a ring can be easily generalized to the setting of any variety with the property that proper subalgebras are always nontrivial. We will prove that if such a variety is also congruence modular, then it has factorable congruences, i.e., it has the Fraser-Horn property. (This property is well known to have major implications for the structure theory of the algebras in the variety.)
References
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Additional Information
  • Diego Vaggione
  • Affiliation: Facultad de Matemática, Astronomía y Física (Fa.M.A.F.), Universidad Nacional de Córdoba, Ciudad Universitaria, Córdoba 5000, Argentina
  • Email: vaggione@mate.uncor.edu
  • Received by editor(s): April 24, 1997
  • Received by editor(s) in revised form: July 7, 1997
  • Additional Notes: This research was supported by CONICOR and SECYT (UNC)
  • Communicated by: Carl Jockusch
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 701-708
  • MSC (1991): Primary 08A05, 08B10
  • DOI: https://doi.org/10.1090/S0002-9939-99-04647-X
  • MathSciNet review: 1473681