Kernel (category theory)
In category theory and its applications to other branches of mathematics, kernels are a generalization of the kernels of group homomorphisms, the kernels of module homomorphisms and certain other kernels from algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general" morphism k : K → X that yields zero when composed with (followed by) f. Note that kernel pairs and difference kernels (aka binary equalisers) sometimes go by the name "kernel"; while related, these aren't quite the same thing and are not discussed in this article.
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Kernel (category theory)
In category theory and its applications to other branches of mathematics, kernels are a generalization of the kernels of group homomorphisms, the kernels of module homomorphisms and certain other kernels from algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general" morphism k : K → X that yields zero when composed with (followed by) f. Note that kernel pairs and difference kernels (aka binary equalisers) sometimes go by the name "kernel"; while related, these aren't quite the same thing and are not discussed in this article.
has abstract
In category theory and its app ...... not discussed in this article.
@en
In de categorietheorie, een ab ...... ngesteld met (gevolgd door) f.
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kernel pairや差核(二項のイコライザとも)も「核」と呼ばれることがあるので注意.関連はあるものの,同じというわけではなく,この記事では議論されない.
@ja
В теории категорий ядро — кате ...... енение f даёт нулевой морфизм.
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In category theory and its app ...... not discussed in this article.
@en
In de categorietheorie, een ab ...... ngesteld met (gevolgd door) f.
@nl
kernel pairや差核(二項のイコライザとも)も「核」と呼ばれることがあるので注意.関連はあるものの,同じというわけではなく,この記事では議論されない.
@ja
В теории категорий ядро — кате ...... енение f даёт нулевой морфизм.
@ru
label
Kern (categorietheorie)
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Kernel (category theory)
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Ядро (теория категорий)
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核 (圏論)
@ja