Expanding Quasi-MV Algebras by a Quantum Operator

نویسندگان

  • Roberto Giuntini
  • Antonio Ledda
  • Francesco Paoli
چکیده

We investigate an expansion of quasi-MV algebras ([10]) by a genuine quantum unary operator. The variety p 0QMV of such p 0 quasi-MV algebras has a subquasivariety whose members called cartesian can be obtained in an appropriate way out of MV algebras. After showing that cartesian p 0 quasi-MV algebras generate p 0QMV, we prove a standard completeness theorem for p 0QMV w.r.t. an algebra over the complex numbers.

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عنوان ژورنال:
  • Studia Logica

دوره 87  شماره 

صفحات  -

تاریخ انتشار 2007