Cokernel
The cokernel of a linear mapping of vector spaces f : X → Y is the quotient space Y / im(f) of the codomain of f by the image of f. The dimension of the cokernel is called the corank of f. Cokernels are dual to the kernels of category theory, hence the name: the kernel is a subobject of the domain (it maps to the domain), while the cokernel is a quotient object of the codomain (it maps from the codomain).
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Cokernel
The cokernel of a linear mapping of vector spaces f : X → Y is the quotient space Y / im(f) of the codomain of f by the image of f. The dimension of the cokernel is called the corank of f. Cokernels are dual to the kernels of category theory, hence the name: the kernel is a subobject of the domain (it maps to the domain), while the cokernel is a quotient object of the codomain (it maps from the codomain).
has abstract
Dalam matematika, kokernel pad ...... ni diuraikan dalam , di bawah.
@in
En mathématiques, le conoyau d ...... au d'une application linéaire.
@fr
In de categorietheorie, een de ...... beeldt af vanaf het codomein).
@nl
In matematica, il conucleo (o ...... è detto operatore di Fredholm.
@it
The cokernel of a linear mappi ...... efore passing to the quotient.
@en
В теории категорий коядро — эт ...... анное уравнение имело решение.
@ru
В теорії категорій коядро — по ...... оядро — фактороб'єктом образу.
@uk
在数学中,向量空间F中线性映射X→Y的余核(cokernel ...... 间之间的有界线性算子,通常必须先取像的闭包,然后再取这个商。
@zh
数学において、ベクトル空間の線型写像 f : X → Y の ...... ては、典型的には商にいく前に像の閉包をとらなければならない。
@ja
선형대수학과 범주론에서, 여핵(餘核, 영어: cokernel 코커널[*])은 핵에 대한 쌍대(dual) 개념이다. 기호는 .
@ko
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Dalam matematika, kokernel pad ...... ain (dipetakan dari kodomain).
@in
En mathématiques, le conoyau d ...... au d'une application linéaire.
@fr
In de categorietheorie, een de ...... beeldt af vanaf het codomein).
@nl
In matematica, il conucleo (o ...... equazione abbia una soluzione.
@it
The cokernel of a linear mappi ...... n (it maps from the codomain).
@en
В теории категорий коядро — эт ...... анное уравнение имело решение.
@ru
В теорії категорій коядро — по ...... оядро — фактороб'єктом образу.
@uk
在数学中,向量空间F中线性映射X→Y的余核(cokernel ...... 间之间的有界线性算子,通常必须先取像的闭包,然后再取这个商。
@zh
数学において、ベクトル空間の線型写像 f : X → Y の ...... ては、典型的には商にいく前に像の閉包をとらなければならない。
@ja
선형대수학과 범주론에서, 여핵(餘核, 영어: cokernel 코커널[*])은 핵에 대한 쌍대(dual) 개념이다. 기호는 .
@ko
label
Cokern
@nl
Cokernel
@en
Conoyau
@fr
Conucleo
@it
Kokernel
@in
Коядро (теорія категорій)
@uk
Коядро
@ru
余核
@ja
余核
@zh
여핵
@ko