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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:concerns
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algebraic structures
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gptkbp:developedBy
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gptkb:David_Hilbert
gptkb:Emil_Artin
gptkb:Emmy_Noether
gptkb:Ernst_Steinitz
gptkb:Nathan_Jacobson
gptkb:Richard_Dedekind
gptkb:Bartel_van_der_Waerden
gptkb:Joseph_Wedderburn
gptkb:Issai_Schur
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gptkbp:hasApplication
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gptkb:combinatorics
gptkb:algebraic_geometry
gptkb:topology
coding theory
cryptography
functional analysis
number theory
physics
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gptkbp:hasConcept
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gptkb:Hilbert's_basis_theorem
gptkb:Noetherian_module
gptkb:spectrum_of_a_ring
gptkb:Artin–Wedderburn_theorem
gptkb:Artinian_module
gptkb:Chinese_remainder_theorem
gptkb:Krull_dimension
gptkb:direct_product
gptkb:isomorphism
gptkb:Wedderburn's_theorem
gptkb:Morita_equivalence
gptkb:Zorn's_lemma
gptkb:prime_ideal
gptkb:module_automorphism
gptkb:module_endomorphism
gptkb:module_homomorphism
gptkb:semisimple_module
gptkb:structure_theorem_for_modules_over_a_PID
gptkb:automorphism
annihilator
finitely generated module
flat module
injective module
localization
maximal ideal
projective module
tensor product
ascending chain condition
descending chain condition
direct sum
endomorphism
free module
simple module
quotient ring
subring
chain conditions
extension of rings
minimal ideal
module annihilator
module direct product
module direct sum
module extension
module isomorphism
module quotient
module submodule
module tensor product
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gptkbp:includes
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gptkb:Noetherian_rings
gptkb:Artinian_rings
gptkb:Jacobson_radical
fields
commutative rings
ideals
modules
units
integral domains
local rings
polynomial rings
semisimple rings
center of a ring
ring homomorphisms
noncommutative rings
group rings
division rings
matrix rings
nilpotent elements
polynomial identities
principal ideal domains
representation theory of rings
simple rings
unique factorization domains
zero divisors
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gptkbp:relatedTo
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abstract algebra
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gptkbp:studies
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rings
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gptkbp:bfsParent
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gptkb:Ideal
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gptkbp:bfsLayer
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6
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https://www.w3.org/2000/01/rdf-schema#label
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Ring theory
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