Statements (120)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
gptkb:mathematical_concept |
| gptkbp:hasConcept |
gptkb:Dedekind_domain
gptkb:Functor gptkb:Hilbert's_Nullstellensatz gptkb:Zariski_topology gptkb:conductor gptkb:Artin–Rees_lemma gptkb:Artinian_ring gptkb:Auslander–Buchsbaum_formula gptkb:Betti_number gptkb:Chinese_remainder_theorem gptkb:Cohen–Macaulay_ring gptkb:Frobenius_endomorphism gptkb:Frobenius_splitting gptkb:Gorenstein_ring gptkb:Grothendieck_group gptkb:Hilbert_basis_theorem gptkb:Hilbert_function gptkb:Hilbert_polynomial gptkb:Koszul_complex gptkb:Krull's_principal_ideal_theorem gptkb:Krull–Schmidt_theorem gptkb:Krull_dimension gptkb:Krull_ring gptkb:Matlis_duality gptkb:Nakayama's_lemma gptkb:valuation_ring gptkb:Gauss's_lemma gptkb:Jacobson_radical gptkb:regular_ring gptkb:Grothendieck's_existence_theorem gptkb:Nagata_ring gptkb:module_homomorphism gptkb:Eisenstein's_criterion Noetherian ring polynomial ring Fitting ideal Rees algebra annihilator associated prime canonical module completion depth depth lemma depth of a module depth of a ring dimension theory divisor finitely generated module flat module homological dimension injective module integral closure integral domain integral extension local cohomology local ring localization maximal ideal minimal prime power series ring primary decomposition primary ideal principal ideal domain projective module regular local ring regular sequence spectrum of a ring support of a module syzygy syzygy module tensor product tight closure unique factorization domain valuation multiplicity discrete valuation ring graded ring projective dimension ring homomorphism adjoint functor exact sequence universal property prime ideal Bass numbers Spec of a ring blowup algebra fraction field normal ring chain condition reduced ring minimal resolution category of modules Dedekind–Mertens lemma Japanese ring Prüfer domain Serre's criterion excellent ring filtered ring flat dimension henselian ring injective dimension injective hull nilradical seminormal ring total quotient ring valuation domain |
| https://www.w3.org/2000/01/rdf-schema#label |
Commutative Algebra
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
algebraic number theory homological algebra |
| gptkbp:studies |
algebraic structures
commutative rings ideals modules |
| gptkbp:bfsParent |
gptkb:Graduate_Studies_in_Mathematics
gptkb:Collection_(Mathematical_work) gptkb:Prime_Elements |
| gptkbp:bfsLayer |
7
|