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The number of non-isomorphic models in quasi-varieties of semigroups

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Publication:594198
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DOI10.1007/BF01191768zbMath0525.20042MaRDI QIDQ594198

Ralph McKenzie

Publication date: 1983

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


zbMATH Keywords

counting functionsnumber of algebrasquasi- variety of semigroupsuniversal Horn class


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Varieties and pseudovarieties of semigroups (20M07) Quasivarieties (08C15)


Related Items (4)

TC semigroups and inflations ⋮ TAYLOR TERMS, CONSTRAINT SATISFACTION AND THE COMPLEXITY OF POLYNOMIAL EQUATIONS OVER FINITE ALGEBRAS ⋮ Semigroups obeying the term condition ⋮ A note on residually small varieties of semigroups



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Counting models in universal Horn classes
  • On the quasivarieties generated by finite semigroups
  • Residually small varieties of semigroups
  • Some applications of the term condition
  • Boolean powers
  • Classification theory and the number of non-isomorphic models
  • Remarks on direct products of commutative semigroups
  • Decidability and Boolean representations


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