Wajsberg algebras.

• Autores: Josep Maria Font i Llobet , Antonio Manuel Rodríguez Chía , Antoni Torrens Torrell
• Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 8, Nº. 1, 1984, págs. 5-31
• Idioma: inglés
• Títulos paralelos:
  • Algebras de Wajsberg.
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• Resumen

  • We present the basic theory of the most natural algebraic counterpart of the À0-valued Lukasiewicz calculus, strictly logically formulated. After showing its lattice structure and its relation to C. C. Chang's MV-algebras we study the implicative filters and prove its equivalence to congruence relations. We present some properties of the variety of all Wajsberg algebras, among which there is a representation theorem. Finally we give some characterizations of linear, simple and semisimple algebras.