Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Kernel_(algebra)> ?p ?o. }
Showing items 1 to 39 of
39
with 100 items per page.
- 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.".
- Kernel_(algebra) wikiPageID "45240".
- Kernel_(algebra) wikiPageRevisionID "606078677".
- Kernel_(algebra) hasPhotoCollection Kernel_(algebra).
- Kernel_(algebra) subject Category:Algebra.
- Kernel_(algebra) subject Category:Isomorphism_theorems.
- Kernel_(algebra) subject Category:Linear_algebra.
- Kernel_(algebra) type Abstraction100002137.
- Kernel_(algebra) type Communication100033020.
- Kernel_(algebra) type IsomorphismTheorems.
- Kernel_(algebra) type Message106598915.
- Kernel_(algebra) type Proposition106750804.
- Kernel_(algebra) type Statement106722453.
- Kernel_(algebra) type Theorem106752293.
- Kernel_(algebra) comment "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.".
- Kernel_(algebra) label "Jądro (algebra)".
- Kernel_(algebra) label "Kern (Mathematik)".
- Kernel_(algebra) label "Kern (algebra)".
- Kernel_(algebra) label "Kernel (algebra)".
- Kernel_(algebra) label "Noyau (algèbre)".
- Kernel_(algebra) label "Nucleo (matematica)".
- Kernel_(algebra) label "Núcleo (álgebra)".
- Kernel_(algebra) label "Ядро (алгебра)".
- Kernel_(algebra) label "核 (代数)".
- Kernel_(algebra) label "核 (数学)".
- Kernel_(algebra) sameAs Kern_(Mathematik).
- Kernel_(algebra) sameAs Noyau_(algèbre).
- Kernel_(algebra) sameAs Nucleo_(matematica).
- Kernel_(algebra) sameAs 核_(数学).
- Kernel_(algebra) sameAs 핵_(수학).
- Kernel_(algebra) sameAs Kern_(algebra).
- Kernel_(algebra) sameAs Jądro_(algebra).
- Kernel_(algebra) sameAs Núcleo_(álgebra).
- Kernel_(algebra) sameAs m.0c9jg.
- Kernel_(algebra) sameAs Q574844.
- Kernel_(algebra) sameAs Q574844.
- Kernel_(algebra) sameAs Kernel_(algebra).
- Kernel_(algebra) wasDerivedFrom Kernel_(algebra)?oldid=606078677.
- Kernel_(algebra) isPrimaryTopicOf Kernel_(algebra).