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 / A., Di Nola; A., Dvurecenskij; Lettieri, Ada. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - STAMPA. - 51:(2010), pp. 680-694. [10.1016/j.ijar.2010.01.017]
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.| File | Dimensione | Formato | |
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