Definitions for coimage
coim·age

WikipediaRate this definition:0.0 / 0 votes

1. Coimage

   In algebra, the coimage of a homomorphism f : A → B {\displaystyle f:A\rightarrow B} is the quotient coim f = A / ker ⁡ ( f ) {\displaystyle {\text{coim}}f=A/\ker(f)} of the domain by the kernel. The coimage is canonically isomorphic to the image by the first isomorphism theorem, when that theorem applies. More generally, in category theory, the coimage of a morphism is the dual notion of the image of a morphism. If f : X → Y {\displaystyle f:X\rightarrow Y} , then a coimage of f {\displaystyle f} (if it exists) is an epimorphism c : X → C {\displaystyle c:X\rightarrow C} such that there is a map f c : C → Y {\displaystyle f_{c}:C\rightarrow Y} with f = f c ∘ c {\displaystyle f=f_{c}\circ c} , for any epimorphism z : X → Z {\displaystyle z:X\rightarrow Z} for which there is a map f z : Z → Y {\displaystyle f_{z}:Z\rightarrow Y} with f = f z ∘ z {\displaystyle f=f_{z}\circ z} , there is a unique map h : Z → C {\displaystyle h:Z\rightarrow C} such that both c = h ∘ z {\displaystyle c=h\circ z} and f z = f c ∘ h {\displaystyle f_{z}=f_{c}\circ h}

How to pronounce coimage?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say coimage in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of coimage in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of coimage in Pythagorean Numerology is: 8

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Coimage