Recently A. Di Nola and A. Dvurecˇenskij introduced the variety SMV of MV-algebras with an internal operator,state MV-algebras. Successively they gave a stronger version of state MV-algebras, calledstate-morphism MV-algebras. In this paper we continue the studies presented above justlooking at several proper subvarieties of SMV, obtained by imposing suitable conditions on the behavior of the internal operator.

On varieties of MV-algebras with internal states

LETTIERI, ADA
2010

Abstract

Recently A. Di Nola and A. Dvurecˇenskij introduced the variety SMV of MV-algebras with an internal operator,state MV-algebras. Successively they gave a stronger version of state MV-algebras, calledstate-morphism MV-algebras. In this paper we continue the studies presented above justlooking at several proper subvarieties of SMV, obtained by imposing suitable conditions on the behavior of the internal operator.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/367794
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