Surjectivity of natural morphism between multiplicative modulo groups
68728
Why does the natural ring homomorphism induce a surjective group homomorphism of units?
90192
Kernel and Image of a group homomorphism
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
5699
The number of ring homomorphisms from $\mathbb{Z}_m$ to $\mathbb{Z}_n$
138279
Multiplicative order and powers
108691
Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.
116750
On surjectivity of exponential map for Lie groups
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
40566
Counting surjective functions
152212
Prove that the natural map $\alpha : \text{Hom}(X,\text{Spec} A) \rightarrow \text{Hom}(A,\Gamma(X,\mathcal{O}_X))$ is an isomorphism
109801
multiplicative group of infinite fields
30236
isomorphic groups related in direct product.
117131
Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
642
Does a surjective ring homomorphism have to be surjective on the unit groups?
148569
Embeddings $A → B → A$, but $A \not\cong B$?
141984
Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$