Hilbert's theorem on the theory of algebraic numbers
GPTKB entity
Statements (48)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:addresses |
the properties of algebraic numbers
|
| gptkbp:associated_with |
gptkb:David_Hilbert
|
| gptkbp:contributedTo |
the field of mathematics.
|
| gptkbp:criticalReception |
the_analysis_of_algebraic_structures
|
| gptkbp:designedBy |
a solution to the problem of algebraic number theory
|
| gptkbp:explores |
mathematical seminars
|
| gptkbp:has_a_focus_on |
mathematicians
mathematical research theoretical mathematics |
| gptkbp:has_implications_for |
field extensions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's theorem on the theory of algebraic numbers
|
| gptkbp:includes |
mathematical textbooks
|
| gptkbp:influences |
the field of number theory
|
| gptkbp:is_a_key_component_of |
the theory of algebraic integers
|
| gptkbp:is_a_platform_for |
the development of algebraic topology
the study of rings and fields |
| gptkbp:is_a_subject_of |
algebraic geometry
advanced mathematics courses abstract algebra academic conferences historical analysis mathematical proofs graduate studies academic inquiry mathematical exploration the study of algebraic forms |
| gptkbp:is_essential_for |
the field of mathematics
the classification of algebraic numbers the development of modern algebra the realm of algebraic theory understanding algebraic equations |
| gptkbp:is_part_of |
the curriculum in mathematics education
Hilbert's_broader_contributions_to_mathematics Hilbert's_work_in_mathematics |
| gptkbp:is_referenced_in |
research papers
|
| gptkbp:is_studied_in |
the study of number systems
|
| gptkbp:is_used_in |
mathematical literature
mathematical discussions computational algebra |
| gptkbp:isConnectedTo |
Galois theory
|
| gptkbp:majorIndustry |
the field of algebraic number theory
|
| gptkbp:notable_event |
the history of mathematics
|
| gptkbp:related_to |
gptkb:Hilbert's_Nullstellensatz
the concept of algebraic closure the study of polynomial equations |
| gptkbp:suitableFor |
algebraic structures
|
| gptkbp:was_a_result_of |
Hilbert's_investigations_into_algebra
|