On varieties of MV-algebras with internal states

• Autores: Antonio Di Nola, Anatolij Dvurecenskij, Ada Lettieri
• Localización: International journal of approximate reasoning, ISSN 0888-613X, Vol. 51, Nº 6, 2010, págs. 680-694
• Idioma: inglés
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• Resumen

  • In [4] and [5] the authors introduced the variety of MV-algebras with an internal operator, state MV-algebras. In [2] and [3] the authors gave a stronger version of state MV-algebras, called state-morphism MV-algebras. In this paper we continue the studies presented in [2] and [3] just looking at several proper subvarieties of , obtained by imposing suitable conditions on the behavior of the internal operator.