article Open AccessTop 10% cited
The theory of representations for Boolean algebras
Transactions of the American Mathematical Society · 1936 · Vol. 40(1) · pp. 37–111
Abstract
ring B which possesses a unit element, in such a manner that B is unique in the following sense : if C is a Boolean ring with unit containing A, then C contains also a Boolean ring B* isomorphic to B and containing A. A finite Boolean ring necessarily possesses a unit and has a cardinal number which is a power of 2.
Advanced Algebra and LogicMathematicsAlgebra over a fieldStone's representation theorem for Boolean algebrasPure mathematicsRepresentation theoryBoolean algebras canonically definedTwo-element Boolean algebraAlgebra representation
Citations
862
FWCI
8.37
field-weighted impact
References
0
Percentile
97%
vs. same field & year
Citations per year
Cited by
Symmetric measures on Cartesian products
Transactions of the American Mathematical Society · 1955 · 693 citations
Algebraic analysis of many valued logics
Transactions of the American Mathematical Society · 1958 · 1,324 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.