On extension of a given finitely additive field-valued measure on a finitely additive Boolean tribe to another one more ample.
Otton Martin Nikodym (1958)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “Semivariations of an additive function on a Boolean ring”
On extension of a given finitely additive field-valued measure on a finitely additive Boolean tribe to another one more ample.
On the set representation of an orthomodular poset
John Harding, Pavel Pták (2001)
Colloquium Mathematicae
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Let P be an orthomodular poset and let B be a Boolean subalgebra of P. A mapping s:P → ⟨0,1⟩ is said to be a centrally additive B-state if it is order preserving, satisfies s(a') = 1 - s(a), is additive on couples that contain a central element, and restricts to a state on B. It is shown that, for any Boolean subalgebra B of P, P has an abundance of two-valued centrally additive B-states. This answers positively a question raised in [13, Open question, p. 13]. As a consequence one obtains...
Matrix method approach to Cafiero theorem.
de Lucia, Paolo, Pap, Endre (2003)
Novi Sad Journal of Mathematics
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John Lawrence (1985)
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The Formulas of the General Reproductive Solution of an Equation in Boolean Ring with Unit
Dragić Banković (1987)
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Jan Mycielski (1979)
Colloquium Mathematicae
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David P. Ellerman, Gian-Carlo Rota (1978)
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Gelfand theorem implies Stone representation theorem of Boolean rings.
Saworotnow, Parfeny P. (1995)
International Journal of Mathematics and Mathematical Sciences
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On the continuity of certain non-additive set functions
L. Drewnowski (1978)
Colloquium Mathematicae
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Approximately additive set functions
Bogdan Pawlik (1987)
Colloquium Mathematicae
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On additive functions with a non-decreasing normal order
W. Narkiewicz (1974)
Colloquium Mathematicae
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A theorem in additive number theory
Roger Crocker (1969)
Colloquium Mathematicae
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On additive functions having a non-decreasing normal order
I. Kátai (1977)
Colloquium Mathematicae
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Decomposition of group-valued additive set functions
Tim Traynor (1972)
Annales de l'institut Fourier
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Let be an additive function on a ring of sets, with values in a commutative Hausdorff topological group, and let be an ideal of . Conditions are given under which can be represented as the sum of two additive functions, one essentially supported on , the other vanishing on . The result is used to obtain two Lebesgue-type decomposition theorems. Other applications and the corresponding theory for outer measures are also indicated.