What's the difference between isomorphism and homeomorphism?
I think that they are similar (or same), but I am not sure. Can anyone explain the difference between isomorphism and homeomorphism?
Given that $m$ divides $n$, show that $Z_m$ is a homomorphic image …
Given that $m$ divides $n$, show that $Z_m$ is a homomorphic image of $Z_n$. Ask Question Asked 8 years ago Modified 6 years ago
Difference between graph homomorphism and graph isomorphism
Aug 16, 2012 · I am still not getting how graph isomorphism and homomorphism differ. Can anyone show me two graphs that are homomorphic, but not isomorphic? Also, Wikipedia says that when the …
Difference between homomorphisms and homomorphic images
"How are homomorphic images and homomorphisms different?" For starters a homomorphism is a function, while homomorphic image a subset. Have you looked at definitions? What exactly is the …
abstract algebra - Is the homomorphic image of an ideal an ideal ...
Mar 23, 2017 · Is the homomorphic image of an ideal an ideal? Ask Question Asked 8 years, 8 months ago Modified 3 years, 3 months ago
Homomorphic images of $\mathbb {Z}$ - Mathematics Stack Exchange
Jul 19, 2018 · Homomorphic images of $\mathbb {Z}$ Ask Question Asked 7 years, 5 months ago Modified 4 years, 9 months ago
abstract algebra - Every homomorphic image of abelian group is …
Oct 22, 2019 · Every homomorphic image of abelian group is abelian but converse need not be true. Ask Question Asked 6 years, 1 month ago Modified 6 years, 1 month ago
Determine all homomorphic images of $D_4$ up to isomorphism.
Aug 26, 2016 · Determine all homomorphic images of $D_4$ up to isomorphism. What exactly is a homomorphic image without mentioning a second group? Isn't a homomorphism a map between ...
How can you tell whether two groups are homomorphic/isomorphic ...
Nov 2, 2015 · Suppose you have two groups, G G and H H. I've been taught the following definitions: " G G is homomorphic to H H iff there exists some function θ θ which gives the mapping θ:G → H θ: G …
abstract algebra - What is Homomorphic image of a field $F ...
Oct 30, 2018 · The definition is, it's the image of the field under a homomorphism. So: do you know what field means? do you know what image means? do you know what homomorphism means?