Nikodým convergence theorem for uniform space valued functions defined on -posets
Paolo de Lucia, Endre Pap (1995)
Mathematica Slovaca
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Displaying similar documents to “On the extension of -poset valued measures”
Nikodým convergence theorem for uniform space valued functions defined on -posets
A spectral theorem for 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 -MV-algebras, we prove that, with every element in a -MV algebra , a spectral measure (i. e. an observable) can be associated, where denotes the Boolean...
Spectral resolutions for -complete lattice effect algebras
Sylvia Pulmannová (2006)
Mathematica Slovaca
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On product -algebras
Ján Jakubík (2002)
Czechoslovak Mathematical Journal
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In this paper we apply the notion of the product -algebra in accordance with the definition given by B. Riečan. We investigate the convex embeddability of an -algebra into a product -algebra. We found sufficient conditions under which any two direct product decompositions of a product -algebra have isomorphic refinements.
On intervals and isometries of -algebras
Ján Jakubík (2002)
Czechoslovak Mathematical Journal
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Let Int be the lattice of all intervals of an -algebra . In the present paper we investigate the relations between direct product decompositions of and (i) the lattice Int , or (ii) 2-periodic isometries on , respectively.