Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Kernel_(algebra)> ?p ?o }
- Kernel_(algebra) abstract "In the various branches of mathematics that fall under the heading of abstract algebra, the kernel of a homomorphism measures the degree to which the homomorphism fails to be injective. An important special case is the kernel of a linear map. The kernel of a matrix, also called the null space, is the kernel of the linear map defined by the matrix.The definition of kernel takes various forms in various contexts. But in all of them, the kernel of a homomorphism is trivial (in a sense relevant to that context) if and only if the homomorphism is injective. The fundamental theorem on homomorphisms (or first isomorphism theorem) is a theorem, again taking various forms, that applies to the quotient algebra defined by the kernel.In this article, we first survey kernels for some important types of algebraic structures; then we give general definitions from universal algebra for generic algebraic structures.".
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- Kernel_(algebra) wikiPageLength "15161".
- Kernel_(algebra) wikiPageOutDegree "123".
- Kernel_(algebra) wikiPageRevisionID "702116986".
- Kernel_(algebra) wikiPageWikiLink Abelian_category.
- Kernel_(algebra) wikiPageWikiLink Abelian_group.
- Kernel_(algebra) wikiPageWikiLink Abstract_algebra.
- Kernel_(algebra) wikiPageWikiLink Algebra_over_a_field.
- Kernel_(algebra) wikiPageWikiLink Algebraic_structure.
- Kernel_(algebra) wikiPageWikiLink Basis_(linear_algebra).
- Kernel_(algebra) wikiPageWikiLink Bimodule.
- Kernel_(algebra) wikiPageWikiLink Category:Algebra.
- Kernel_(algebra) wikiPageWikiLink Category:Isomorphism_theorems.
- Kernel_(algebra) wikiPageWikiLink Category:Linear_algebra.
- Kernel_(algebra) wikiPageWikiLink Category_theory.
- Kernel_(algebra) wikiPageWikiLink Closed_set.
- Kernel_(algebra) wikiPageWikiLink Codomain.
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- Kernel_(algebra) wikiPageWikiLink Differential_operator.
- Kernel_(algebra) wikiPageWikiLink Dimension_(vector_space).
- Kernel_(algebra) wikiPageWikiLink Direct_product.
- Kernel_(algebra) wikiPageWikiLink Division_(mathematics).
- Kernel_(algebra) wikiPageWikiLink Equaliser_(mathematics).
- Kernel_(algebra) wikiPageWikiLink Equality_(mathematics).
- Kernel_(algebra) wikiPageWikiLink Equivalence_class.
- Kernel_(algebra) wikiPageWikiLink Equivalence_relation.
- Kernel_(algebra) wikiPageWikiLink Function_(mathematics).
- Kernel_(algebra) wikiPageWikiLink Fundamental_theorem_on_homomorphisms.
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- Kernel_(algebra) wikiPageWikiLink Hausdorff_space.
- Kernel_(algebra) wikiPageWikiLink Homogeneous_differential_equation.
- Kernel_(algebra) wikiPageWikiLink Homomorphism.
- Kernel_(algebra) wikiPageWikiLink Ideal_(ring_theory).
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- Kernel_(algebra) wikiPageWikiLink Image_(mathematics).
- Kernel_(algebra) wikiPageWikiLink Injective_function.
- Kernel_(algebra) wikiPageWikiLink Isomorphism_theorem.
- Kernel_(algebra) wikiPageWikiLink John_Wiley_&_Sons.
- Kernel_(algebra) wikiPageWikiLink Kernel_(category_theory).
- Kernel_(algebra) wikiPageWikiLink Kernel_(linear_algebra).
- Kernel_(algebra) wikiPageWikiLink Kernel_(set_theory).
- Kernel_(algebra) wikiPageWikiLink Linear_map.
- Kernel_(algebra) wikiPageWikiLink Linear_subspace.
- Kernel_(algebra) wikiPageWikiLink Malcev_algebra.
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- Kernel_(algebra) wikiPageWikiLink Quotient_ring.
- Kernel_(algebra) wikiPageWikiLink Quotient_space_(linear_algebra).
- Kernel_(algebra) wikiPageWikiLink Quotient_space_(topology).
- Kernel_(algebra) wikiPageWikiLink Rank_(linear_algebra).
- Kernel_(algebra) wikiPageWikiLink Rank–nullity_theorem.
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- Kernel_(algebra) wikiPageWikiLink Real_number.
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- Kernel_(algebra) wikiPageWikiLink Ring_(mathematics).
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- Kernel_(algebra) wikiPageWikiLink Springer_Science+Business_Media.
- Kernel_(algebra) wikiPageWikiLink Subalgebra.
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- Kernel_(algebra) wikiPageWikiLink Universal_algebra.
- Kernel_(algebra) wikiPageWikiLink Vector_space.
- Kernel_(algebra) wikiPageWikiLink Zero_element.
- Kernel_(algebra) wikiPageWikiLink Zero_object_(algebra).
- Kernel_(algebra) wikiPageWikiLink Zero_ring.
- Kernel_(algebra) wikiPageWikiLink Zero_set.
- Kernel_(algebra) wikiPageWikiLinkText "Kernel (algebra)".
- Kernel_(algebra) wikiPageWikiLinkText "Kernel (algebra)#Group homomorphisms".
- Kernel_(algebra) wikiPageWikiLinkText "Kernel (algebra)#Ring homomorphisms".
- Kernel_(algebra) wikiPageWikiLinkText "Kernel (mathematics)".
- Kernel_(algebra) wikiPageWikiLinkText "Kernel".
- Kernel_(algebra) wikiPageWikiLinkText "Kernel_(algebra)".
- Kernel_(algebra) wikiPageWikiLinkText "ker".
- Kernel_(algebra) wikiPageWikiLinkText "kernel in the algebraic sense".
- Kernel_(algebra) wikiPageWikiLinkText "kernel in the usual algebraic sense".
- Kernel_(algebra) wikiPageWikiLinkText "kernel of algebra".
- Kernel_(algebra) wikiPageWikiLinkText "kernel".
- Kernel_(algebra) wikiPageWikiLinkText "kernels from algebra".