Totally disconnected compactifications.
Saworotnow, Parfeny P. (1993)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Gelfand theorem implies Stone representation theorem of Boolean rings.”
Totally disconnected compactifications.
Some distributivities in GBbi-QRs characterizing Boolean rings
Joanna Kaleta (2004)
Discussiones Mathematicae - General Algebra and Applications
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This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.
Boolean valued rings
E. Ellentuck (1977)
Fundamenta Mathematicae
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Large Subalgebras of a Boolean Algebra
Slobodan Vujošević (1989)
Publications de l'Institut Mathématique
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The notion of an elementary subsystem for a Boolean-valued relational system
L. Szczerba (1973)
Fundamenta Mathematicae
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On set-valued non-Boolean functions.
Tošić, Ratko, Čomić, Lidija (2000)
Novi Sad Journal of Mathematics
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Algebraic logic, I. Monadic boolean algebras
Paul R. Halmos (1954-1956)
Compositio Mathematica
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A new proof for the multiplicative property of the boolean cumulants with applications to the operator-valued case
Mihai Popa (2009)
Colloquium Mathematicae
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The paper presents several combinatorial properties of the boolean cumulants. A consequence is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted to the case of boolean independence with amalgamation over an algebra.
Representation and distributivity of Boolean algebras
Roman Sikorski (1961)
Colloquium Mathematicum
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On Boolean modus ponens.
Sergiu Rudeanu (1998)
Mathware and Soft Computing
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An abstract form of modus ponens in a Boolean algebra was suggested in [1]. In this paper we use the general theory of Boolean equations (see e.g. [2]) to obtain a further generalization. For a similar research on Boolean deduction theorems see [3].
A remark on Sikorski's extension theorem for homomorphisms in the theory of Boolean algebras
W. Luxemburg (1964)
Fundamenta Mathematicae
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Separation properties and Boolean powers
Steven Garavaglia, J. M. Plotkin (1984)
Colloquium Mathematicae
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