The Birkhoff Variety Theorem for continuous algebras
- Cite this article as:
- Adámek, J., Nelson, E. & Reiterman, J. Algebra Universalis (1985) 20: 328. doi:10.1007/BF01195142
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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.