What's the meaning of homomorphism preserving the gradings here?
8217
What's the meaning of preserving the gradings?
22995
Let f:G to H be 1-1 homomorphism show that order of f(a) divides the order of G.
139849
How do you draw the "snake" arrow for the connecting homomorphism in the snake lemma?
68728
Why does the natural ring homomorphism induce a surjective group homomorphism of units?
149856
Image of ring homomorphism is a subring
95187
The set of homotopy classes
150961
An example for a homomorphism that is not an automorphism
90616
When is mapping $g$ to $g^{-1}$ a group homomorphism?
84132
Number of preimages of a group element under a homomorphism.
123419
Abstract algebra: homomorphism and an element of a prime order
83710
Order of a homomorphism of groups
56492
Does the order of $f(x)$ divide the order of $x$ if $f$ is a group homomorphism?
54911
The preimage of a normal subgroup under a group homomorphism is normal
111375
Normality of subgroups and Sylow groups under homomorphisms...
120811
What does "isomorphic" mean in linear algebra?
30327
$\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
1026
Ring homomorphism with $\phi(1_R) \neq1_S$