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gptkbp:instanceOf
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gptkb:academic
gptkb:mathematical_concept
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https://www.w3.org/2000/01/rdf-schema#label
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commutative algebra
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gptkbp:notableIdea
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gptkb:Dedekind_domain
gptkb:Hilbert's_Nullstellensatz
gptkb:Noether_normalization_lemma
gptkb:Zariski_topology
gptkb:Artin–Rees_lemma
gptkb:Artin_approximation_theorem
gptkb:Artinian_ring
gptkb:Auslander–Buchsbaum_formula
gptkb:Betti_number
gptkb:Briançon–Skoda_theorem
gptkb:Chinese_remainder_theorem
gptkb:Cohen–Macaulay_ring
gptkb:Eisenbud's_theorem
gptkb:Ext_functor
gptkb:Frobenius_endomorphism
gptkb:Frobenius_splitting
gptkb:Going-down_theorem
gptkb:Going-up_theorem
gptkb:Gorenstein_ring
gptkb:Gröbner_basis
gptkb:Grothendieck_group
gptkb:Hilbert_basis_theorem
gptkb:Hilbert_function
gptkb:Hilbert_polynomial
gptkb:Koszul_complex
gptkb:Koszul_duality
gptkb:Krull's_principal_ideal_theorem
gptkb:Krull–Remak–Schmidt_theorem
gptkb:Krull–Schmidt_theorem
gptkb:Krull_dimension
gptkb:Macaulay's_theorem
gptkb:Matlis_duality
gptkb:Nakayama's_lemma
gptkb:PID_(Principal_Ideal_Domain)
gptkb:Picard_group
gptkb:Serre's_criterion_for_normality
gptkb:Serre's_criterion_for_regularity
gptkb:Tor_functor
gptkb:UFD_(Unique_Factorization_Domain)
gptkb:divisor_class_group
gptkb:valuation_ring
Noetherian ring
polynomial ring
radical of an ideal
homomorphism
Fitting ideal
Rees algebra
annihilator
associated prime
blowup
canonical module
completion
depth
depth formula
depth lemma
depth of a module
depth of a ring
depth of an ideal
dimension lemma
dimension theory
finitely generated module
flat module
homological algebra
homological conjectures
homological dimension
injective module
integral closure
integral extension
local cohomology
local ring
localization
maximal ideal
minimal free resolution
minimal prime
module of differentials
monomial ideal
power series ring
primary decomposition
primary ideal
projective module
regular local ring
regular sequence
spectrum of a ring
support of a module
syzygy
syzygy module
tensor product
tight closure
tight closure theory
valuation
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gptkbp:relatedTo
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gptkb:algebraic_geometry
algebraic number theory
homological algebra
ring theory
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gptkbp:studies
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algebraic structures
commutative rings
ideals
modules
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gptkbp:bfsParent
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gptkb:Hilbert's_Nullstellensatz
gptkb:Hilbert's_basis_theorem
gptkb:algebra
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gptkbp:bfsLayer
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4
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