algebra universalis

, Volume 20, Issue 3, pp 328–350

The Birkhoff Variety Theorem for continuous algebras

Authors

  • Jiři Adámek
    • FEL-CVUT
    • McMaster University
    • Katedra MatematikyFJFI
  • Evelyn Nelson
    • FEL-CVUT
    • McMaster University
    • Katedra MatematikyFJFI
  • Jan Reiterman
    • FEL-CVUT
    • McMaster University
    • Katedra MatematikyFJFI
Article

DOI: 10.1007/BF01195142

Cite this article as:
Adámek, J., Nelson, E. & Reiterman, J. Algebra Universalis (1985) 20: 328. doi:10.1007/BF01195142

Abstract

Varieties of continuous algebras, i.e., classes presented by (in)equalities for terms, are characterized as precisely the HSP classes. Terms here are the usual algebraic terms enriched by iterated join symbols. A discussion of varieties which require only finitely many variables, or only the usual terms, is also presented.

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© Birkhäuser Verlag 1985