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The number of non-isomorphic denumerable models of certain universal Horn classes

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Publication:1170186
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DOI10.1007/BF02483822zbMath0497.03026MaRDI QIDQ1170186

Steven Givant

Publication date: 1981

Published in: Algebra Universalis (Search for Journal in Brave)


zbMATH Keywords

free algebrauniversal Horn class


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Equational classes, universal algebra in model theory (03C05)


Related Items (3)

Bjarni Jónsson's contributions in algebra ⋮ Counting models in universal Horn classes ⋮ Universal algebras



Cites Work

  • Unnamed Item
  • On universal Horn classes categorical in some infinite power
  • Theories with a finite number of models in an uncountable power are categorical
  • Lattices of varieties and free algebras
  • On \(\mathfrak A_{n,n}\)-varieties
  • Cantor algebras with single generator. I
  • On isomorphic free algebras
  • A representation theorem for universal horn classes categorical in power
  • Universal horn classes categorical or free in power
  • Categoricity in Power


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