Theorie der algebraischen Zahlen
E483406
"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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Theorie der algebraischen Zahlen canonical | 1 |
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
algebraic number theory monograph
ⓘ
mathematics book ⓘ |
| associatedWith |
Hensel lifting
NERFINISHED
ⓘ
Henselian fields ⓘ p-adic analysis ⓘ |
| author | Kurt Hensel NERFINISHED ⓘ |
| contributedTo | foundations of algebraic number theory ⓘ |
| countryOfOrigin | Germany ⓘ |
| field | algebraic number theory ⓘ |
| hasAuthorRole | Kurt Hensel as originator of p-adic numbers ⓘ |
| hasKeyConcept |
algebraic integers
ⓘ
completion of number fields ⓘ ideals in number fields ⓘ local–global methods in number theory ⓘ p-adic numbers NERFINISHED ⓘ p-adic valuation ⓘ prime decomposition in number fields ⓘ |
| historicalPeriod | early 20th century mathematics ⓘ |
| influenced |
local field theory
ⓘ
modern number theory ⓘ valuation theory ⓘ |
| language | German ⓘ |
| namedAfter | algebraic numbers ⓘ |
| notableFor |
development of p-adic number theory
ⓘ
introduction of p-adic numbers ⓘ |
| topic |
arithmetic of algebraic numbers
ⓘ
congruences and valuations ⓘ extensions of the rational numbers ⓘ factorization in number fields ⓘ structure of algebraic number fields ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.