Hilbert's fourteenth problem
GPTKB entity
Properties (59)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical problem
|
| gptkbp:addresses |
the existence of a finite basis for certain ideals
|
| gptkbp:designedBy |
gptkb:David_Hilbert
|
| gptkbp:field |
algebraic geometry
|
| gptkbp:hasClient |
commutative algebra
|
| gptkbp:hasHistoricalSignificance |
in mathematics
|
| gptkbp:hasInventor |
the theory of rings
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert's fourteenth problem
|
| gptkbp:isActiveIn |
mathematical textbooks
|
| gptkbp:isAssociatedWith |
algebraic varieties
the study of algebraic functions |
| gptkbp:isChallengedBy |
constructive algebra
|
| gptkbp:isCitedIn |
research papers
mathematical journals |
| gptkbp:isConnectedTo |
the theory of algebraic curves
the concept of dimension in algebraic geometry |
| gptkbp:isConsidered |
modern algebraic geometry
a significant challenge in mathematics a fundamental question a key problem in algebraic geometry a pivotal question in mathematics. |
| gptkbp:isDiscussedIn |
algebraic topology
academic conferences mathematical literature graduate courses mathematical seminars |
| gptkbp:isExaminedBy |
research mathematicians
advanced mathematics research the context of algebraic structures |
| gptkbp:isExploredIn |
abstract algebra
various mathematical techniques various mathematical frameworks the context of field theory the context of ideal theory the context of polynomial rings various mathematical proofs |
| gptkbp:isInfluencedBy |
the development of algebraic geometry
the development of modern algebra |
| gptkbp:isLinkedTo |
the concept of algebraic closure
the study of algebraic equations the study of algebraic topology |
| gptkbp:isNotableFor |
its open questions
|
| gptkbp:isPartOf |
gptkb:Hilbert's_problems
gptkb:Hilbert's_problems_list the history of mathematics the_study_of_algebraic_structures the_broader_Hilbert_problem_framework the_exploration_of_algebraic_systems |
| gptkbp:isRelatedTo |
gptkb:Hilbert's_tenth_problem
the field of number theory the concept of algebraic varieties the notion of algebraic independence the theory of polynomial equations |
| gptkbp:isStudiedIn |
mathematicians
the context of algebraic geometry research |
| gptkbp:issues |
the solvability of certain algebraic equations
|
| gptkbp:isUtilizedFor |
the field of computational algebra
|
| gptkbp:relatedTo |
gptkb:Hilbert's_basis_theorem
|
| gptkbp:yearEstablished |
1900
|