Displaying similar documents to “A Cantor-Bernstein theorem for σ -complete MV-algebras”

Weak homogeneity and Pierce’s theorem for M V -algebras

Ján Jakubík (2006)

Czechoslovak Mathematical Journal

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In this paper we prove a theorem on weak homogeneity of M V -algebras which generalizes a known result on weak homogeneity of Boolean algebras. Further, we consider a homogeneity condition for M V -algebras which is defined by means of an increasing cardinal property.

A spectral theorem for σ MV-algebras

Sylvia Pulmannová (2005)

Kybernetika

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MV-algebras were introduced by Chang, 1958 as algebraic bases for multi-valued logic. MV stands for “multi-valued" and MV algebras have already occupied an important place in the realm of nonstandard (mathematical) logic applied in several fields including cybernetics. In the present paper, using the Loomis–Sikorski theorem for σ -MV-algebras, we prove that, with every element a in a σ -MV algebra M , a spectral measure (i. e. an observable) Λ a : ( [ 0 , 1 ] ) ( M ) can be associated, where ( M ) denotes the Boolean...