If $\phi:R\rightarrow R'$ is a surjective ring homomorphism and I is an ideal in R.... continued below
40678
Image of an ideal under a surjective ring homomorphism is an ideal
129858
"Almost" ring homomorphism
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
93632
Existence of a ring homomorphism implies characteristic divisibility
29019
Ideals in direct product of rings
70320
Let $R$ be a commutative Noetherian ring (with unity), and let $I$ be an ideal of $R$ such that $R/I \cong R$. Then is $I=(0)$?
1026
Ring homomorphism with $\phi(1_R) \neq1_S$
104784
On the grade of an ideal
64025
Ring homomorphisms from $\Bbb Q$ into a ring
111239
Are monomorphisms of rings injective?
93102
prove that $f:X\rightarrow Y$ is surjective if and only if $f(f^{-1}(C))=C$
111307
If ideal $I$ of domain $R$ is free $R$-module, then $I$ is principal ideal.
114640
Showing that an ideal is not a free $R-$module.
103491
If $A$ is a semilocal ring and $f:A\rightarrow B$ is a surjective homomorphism, then $f(\operatorname{rad}A)=\operatorname{rad}B$
133975
Localising a polynomial ring and non-maximal prime ideal
82559
Showing two ring homomorphisms that agree on the integers must agree on the rationals
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.