Kummer's ideal numbers
E1351138
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Kummer's ideal numbers are a mathematical concept introduced by Ernst Kummer to restore unique factorization in certain number fields by extending the notion of integers to "ideal" elements.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Kummer's ideal numbers canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T18956025 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kummer's ideal numbers Context triple: [Kummer, hasEponym, Kummer's ideal numbers]
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A.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
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B.
Die Theorie der algebraischen Zahlkörper
"Die Theorie der algebraischen Zahlkörper" is a foundational mathematical monograph on algebraic number fields, authored by David Hilbert and published as part of his influential Zahlbericht.
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C.
Hilbert’s twelfth problem
Hilbert’s twelfth problem is one of David Hilbert’s famous list of 23 problems, asking for a general explicit class field theory that would generate all abelian extensions of a given number field using special values of analytic functions.
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D.
An Elementary Investigation of the Theory of Numbers
An Elementary Investigation of the Theory of Numbers is a foundational 19th-century treatise on number theory by mathematician Peter Barlow, covering properties of integers, prime numbers, and related arithmetic topics.
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E.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Kummer's ideal numbers Target entity description: Kummer's ideal numbers are a mathematical concept introduced by Ernst Kummer to restore unique factorization in certain number fields by extending the notion of integers to "ideal" elements.
-
A.
Theorie der algebraischen Zahlen
"Theorie der algebraischen Zahlen" is Kurt Hensel’s foundational work in algebraic number theory, notable for introducing and developing the concept of p-adic numbers.
-
B.
Die Theorie der algebraischen Zahlkörper
"Die Theorie der algebraischen Zahlkörper" is a foundational mathematical monograph on algebraic number fields, authored by David Hilbert and published as part of his influential Zahlbericht.
-
C.
Hilbert’s twelfth problem
Hilbert’s twelfth problem is one of David Hilbert’s famous list of 23 problems, asking for a general explicit class field theory that would generate all abelian extensions of a given number field using special values of analytic functions.
-
D.
An Elementary Investigation of the Theory of Numbers
An Elementary Investigation of the Theory of Numbers is a foundational 19th-century treatise on number theory by mathematician Peter Barlow, covering properties of integers, prime numbers, and related arithmetic topics.
-
E.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.