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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 8123
   School of Mathematics
  Title: Amalgamation property for the class of basic algebras and some of its natural subclasses
  Author(s): M. Alizadeh (Joint with M. Ardeshir)
  Status: Published
  Journal: Arch. Math. Logic
  Vol.: 45
  Year: 2006
  Pages: 913-930
  Supported by: IPM
  Abstract:
We study Basic algebra, the algebraic structure associated with Basic Propositional Calculus, and some of its natural extensions. Among other things, we prove the amalgamation property for the class of Basic algebras, faithful basic algebras and linear faithful Basic algebras. We also show that a faithful theory has the interpolation property if and only if its correspondence class of algebras has the amalgamation property.

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