Let $A, B$ be unitary rings and let $f$ be a surjective homomorphism of rings. Then $f(Jac(A)) \subseteq Jac(B)$
93343
Properties of rad A in rings.
51334
Does there exist any surjective group homomorphism from $(\mathbb R^* , .)$ onto $(\mathbb Q^* , .)$?
63146
Proof of properties of injective and surjective functions.
3778
If the matrix rings over two Rings of the same size are isomorphic, then the scalar rings are isomorphic
45380
Surjectivity implies injectivity and conversely
45576
A surjective homomorphism between finite free modules of the same rank
70912
If $g\circ f$ is injective and $f$ is surjective then $g$ is injective
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
16092
How to prove that the composition of two surjective functions is surjective
149849
Let $F$ be a field and $f: \mathbb{Z} \to F$ be a ring epimorphism.
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
158282
Finite order of an element $f(g)$ of a homomorphism $f$
123419
Abstract algebra: homomorphism and an element of a prime order
87946
Proving that the unities of a ring form a group under multiplication
46748
If $g \circ f$ is surjective, show that $f$ does not have to be surjective?
104757
If $f \circ g$ is surjective, then f is surjective
129452
Groups $G,H$ with surjective homomorphisms that are quotient of each other