Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical theorem
|
| gptkbp:appliesTo |
polynomial rings
|
| gptkbp:associated_with |
gptkb:Zariski_topology
|
| gptkbp:connects |
algebra and geometry
|
| gptkbp:field |
algebraic geometry
|
| gptkbp:has_implications_for |
theoretical computer science
|
| gptkbp:historical_significance |
mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's Nullstellensatz
|
| gptkbp:is_a |
solutions of polynomial equations
real algebraic geometry |
| gptkbp:is_a_dish_that |
the development of modern mathematics
|
| gptkbp:is_a_document_that |
the relationship between algebraic sets and ideals
the study of polynomial functions |
| gptkbp:is_a_key_player_in |
the study of algebraic varieties
|
| gptkbp:is_a_place_for |
the study of algebraic topology
|
| gptkbp:is_a_platform_for |
algebraic geometry
the geometry of solutions |
| gptkbp:is_a_popular_spot_for |
research in algebraic geometry.
|
| gptkbp:is_a_subject_of |
algebraic geometry
commutative algebra modern algebra computational algebra |
| gptkbp:is_a_tool_for |
cryptography
optimization problems the structure of polynomial equations |
| gptkbp:is_a_way_to |
non-commutative rings
other mathematical fields |
| gptkbp:is_essential_for |
mathematical logic
theoretical mathematics the foundations of algebraic geometry |
| gptkbp:is_evaluated_by |
varieties
|
| gptkbp:is_known_for |
higher dimensions
|
| gptkbp:is_popular_among |
mathematical textbooks
mathematical seminars |
| gptkbp:is_referenced_in |
academic papers
|
| gptkbp:is_studied_in |
mathematicians worldwide
algebraic structures |
| gptkbp:is_used_in |
advanced mathematics courses
computer algebra systems model theory solving systems of polynomial equations the existence of solutions |
| gptkbp:isConnectedTo |
the concept of radical ideals
|
| gptkbp:previousName |
gptkb:David_Hilbert
|
| gptkbp:produces |
gptkb:David_Hilbert
|
| gptkbp:related_to |
ideal theory
|
| gptkbp:suitableFor |
finite fields
|
| gptkbp:was_a_result_of |
mathematical research
new mathematical theories the correspondence between ideals and varieties various mathematical contexts |