Neat embeddings as adjoint situations

نویسنده

  • Tarek Sayed Ahmed
چکیده

Looking at the operation of forming neat α-reducts as a functor, with α an infinite ordinal, we investigate when such a functor obtained by truncating ω dimensions, has a right adjoint. We show that the neat reduct functor for representable cylindric algebras does not have a right adjoint, while that of polyadic algebras is an equivalence. We relate this categorical result to several amalgamation properties for classes of representable algebras. 1

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عنوان ژورنال:
  • Synthese

دوره 192  شماره 

صفحات  -

تاریخ انتشار 2015