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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:appliesTo
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gptkb:Group_theory
gptkb:Linear_algebra
gptkb:Ring_theory
Module theory
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gptkbp:categoryTheoryGeneralization
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gptkb:Kernel_(category_theory)
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gptkbp:contrastsWith
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gptkb:Coimage
gptkb:Cokernel
gptkb:Image_(algebra)
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gptkbp:defines
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The set of elements mapped to the identity element under a homomorphism
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gptkbp:example
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Kernel of a group homomorphism
Kernel of a linear transformation
Kernel of a module homomorphism
Kernel of a ring homomorphism
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gptkbp:field
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gptkb:algebra
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https://www.w3.org/2000/01/rdf-schema#label
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Kernel (algebra)
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gptkbp:property
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The kernel is a normal subgroup in group theory
The kernel is a submodule in module theory
The kernel is a subspace in linear algebra
The kernel is an ideal in ring theory
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gptkbp:relatedTo
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gptkb:Homomorphism
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gptkbp:seeAlso
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gptkb:Null_space
gptkb:Zero_morphism
Homomorphism theorem
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gptkbp:symbol
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ker
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gptkbp:usedIn
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gptkb:First_isomorphism_theorem
Exact sequence
Short exact sequence
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gptkbp:bfsParent
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gptkb:First_isomorphism_theorem
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gptkbp:bfsLayer
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7
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