gptkbp:instanceOf
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gptkb:algebra
gptkb:mathematical_concept
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gptkbp:closed
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Addition
Multiplication by ring elements
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gptkbp:definedIn
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gptkb:King
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gptkbp:example
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gptkb:Jacobson_radical
gptkb:Maximal_ideal
gptkb:Prime_ideal
gptkb:Principal_ideal
Unit ideal
Zero ideal
Nilradical
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gptkbp:field
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gptkb:Abstract_algebra
gptkb:Ring_theory
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gptkbp:generalizes
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Normal subgroup
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gptkbp:hasSubgroup
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gptkb:King
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gptkbp:hasWikipediaPage
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https://en.wikipedia.org/wiki/Ideal_(ring_theory)
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https://www.w3.org/2000/01/rdf-schema#label
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Ideal (ring theory)
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gptkbp:introduced
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gptkb:Richard_Dedekind
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gptkbp:introducedIn
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1871
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gptkbp:MathWorld
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https://mathworld.wolfram.com/Ideal.html
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gptkbp:property
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Absorbing property
Additive subgroup
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gptkbp:relatedTo
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Submodule
Congruence relation
Filter (mathematics)
|
gptkbp:type
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gptkb:Left_ideal
gptkb:Two-sided_ideal
Right ideal
|
gptkbp:usedIn
|
gptkb:Algebraic_geometry
gptkb:Commutative_algebra
gptkb:Algebraic_number_theory
gptkb:Quotient_ring
Module theory
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gptkbp:bfsParent
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gptkb:Left_ideal
gptkb:Two-sided_ideal
|
gptkbp:bfsLayer
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7
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