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Stone's representation theorem for Boolean algebras
Known as:
Boolean space
, Stone's representation theorem
, M. H. Stone's representation theorem
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In mathematics, Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a field of sets. The theorem…
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Related topics
Related topics
4 relations
Broader (2)
Boolean algebra
Categorical logic
Category theory
Hilbert space
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Subjective expected utility representations for Savage preferences on topological spaces
M. Pivato
,
V. Vergopoulos
2017
Corpus ID: 42588014
In many decisions under uncertainty, there are technological constraints on both the acts an agent can perform and the events she…
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2016
2016
THE STONE REPRESENTATION THEOREM FOR BOOLEAN ALGEBRAS
R. Oliveira
2016
Corpus ID: 37714953
The study of Boolean algebras, has had a big impact on a variety of fields in mathematics. From functional analysis to other…
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2014
2014
Vector space weightless neural networks
W. R. Oliveira
,
A. J. D. Silva
,
Teresa B Ludermir
The European Symposium on Artificial Neural…
2014
Corpus ID: 15657652
By embedding the boolean space Z2 as an orthonormal basis in a vec- tor space we can treat the RAM based neuron as a matrix…
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2013
2013
Generalized Lattices of Boolean Functions Utilized for Derivative Operations
B. Steinbach
2013
Corpus ID: 16529050
This paper explores lattices of Boolean functions which are built by derivative operations of the Boolean Differential Calculus…
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2012
2012
Information Analysis Infrastructure for Diagnosis
V. Hahanov
,
W. Gharibi
,
E. Litvinova
,
S. Chumachenko
arXiv.org
2012
Corpus ID: 13140372
A high-speed multiprocessor architecture for brain-like analyzing information represented in analytic, graph- and table forms of…
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1999
1999
A forcing construction of thin-tall Boolean algebras
M. JuanCarlos
1999
Corpus ID: 28468260
It was proved by Juhasz and Weiss that for every ordinal with 0 < < ! 2 there is a superatomic Boolean algebra of height and…
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1977
1977
ISOMORPHISMS OF SUMS OF BOOLEAN ALGEBRAS
V. Trnková
,
V. Koubek
1977
Corpus ID: 17388797
We prove that any Boolean algebra is a homomorphic image of a Boolean algebra B isomorphic to B + B + B but not to B + B. In [5…
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1973
1973
A note on commutative Baer rings III
T. Speed
Journal of the Australian Mathematical Society
1973
Corpus ID: 55881042
If R is a commutative semiprime ring with identity Kist [4], [5] has shown that R can be embedded into a commutative Baer ring B…
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1972
1972
The Boolean ring generated by a distributive lattice
S. Bernau
1972
Corpus ID: 54002454
This note gives a simple characterization of the Boolean ring R generated by a distributive lattice L. The method is to introduce…
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1965
1965
Rings of continuous integer-valued functions and nonstandard arithmetic
N. L. Alling
1965
Corpus ID: 53976537
0. Introduction. In this paper rings of continuous integer-valued functions are studied, with particular attention paid to their…
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