Iterative vs. regular factor algebras

  • Authors:
  • Irène Guessarian;Francesco Parisi-Presicce

  • Affiliations:
  • L.I.T.P. - C.N.R.S. - U.E.R. de Mathématique Paris VII, Paris;University of Southern California, Los Angeles, CA

  • Venue:
  • ACM SIGACT News
  • Year:
  • 1983

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Abstract

We characterize the free regular algebra in any variety of regular algebras as a factor algebra and prove that no similar characterization can be obtained for varieties of iterative or continuous algebras.