Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements (Q2907898)

From MaRDI portal





scientific article; zbMATH DE number 6076229
Language Label Description Also known as
English
Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
scientific article; zbMATH DE number 6076229

    Statements

    0 references
    4 September 2012
    0 references
    Archimedean effect algebra
    0 references
    lattice effect algebra
    0 references
    MV-algebra
    0 references
    sharp element
    0 references
    Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements (English)
    0 references
    0 references
    In the paper [Kybernetika 43, No. 3, 343--346 (2007; Zbl 1149.06006)], the author demonstrated that there are atomic MV-effect algebras with a non-atomic subalgebra of sharp elements, but the presented example was a non-Archimedean lattice effect algebra. Now, an Archimedean example is presented.
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references