Studia Logica 50 (3-4):473 - 483 (1991)
|Abstract||The notion of monadic three-valued ukasiewicz algebras was introduced by L. Monteiro (, ) as a generalization of monadic Boolean algebras. A. Monteiro (, ) and later L. Monteiro and L. Gonzalez Coppola  obtained a method for the construction of a three-valued ukasiewicz algebra from a monadic Boolea algebra. In this note we give the construction of a monadic three-valued ukasiewicz algebra from a Boolean algebra B where we have defined two quantification operations and * such that *x=*x (where *x=-*-x). In this case we shall say that and * commutes. If B is finite and is an existential quantifier over B, we shall show how to obtain all the existential quantifiers * which commute with .Taking into account R. Mayet  we also construct a monadic three-valued ukasiewicz algebra from a monadic Boolean algebra B and a monadic ideal I of B.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Roberto Cignoli (1979). Coproducts in the Categories of Kleene and Three-Valued Łukasiewicz Algebras. Studia Logica 38 (3):237 - 245.
L. Peter Belluce, Revaz Grigolia & Ada Lettieri (2005). Representations of Monadic MV -Algebras. Studia Logica 81 (1):123 - 144.
Sergiu Rudeanu (1993). On Łukasiewicz-Moisil Algebras of Fuzzy Sets. Studia Logica 52 (1):95 - 111.
C. Cimadamore & J. P. Díaz Varela (2011). Monadic MV-Algebras Are Equivalent to Monadic ℓ-Groups with Strong Unit. Studia Logica 98 (1-2):175-201.
Roberto Cignoli (1991). Complete and Atomic Algebras of the Infinite Valued Łukasiewicz Logic. Studia Logica 50 (3-4):375 - 384.
Renato A. Lewin (1988). Involutions Defined by Monadic Terms. Studia Logica 47 (4):387 - 389.
Antonio Di Nola, Revaz Grigolia & Giovanni Panti (1998). Finitely Generated Free MV-Algebras and Their Automorphism Groups. Studia Logica 61 (1):65-78.
Guram Bezhanishvili (1998). Varieties of Monadic Heyting Algebras. Part I. Studia Logica 61 (3):367-402.
Guram Bezhanishvili (1999). Varieties of Monadic Heyting Algebras Part II: Duality Theory. Studia Logica 62 (1):21-48.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #291,948 of 722,929 )
Recent downloads (6 months)0
How can I increase my downloads?