Modify this formula : $R/I \cong \phi[R]/\phi[I]$
49806
Prove that $\frac{R/ \ker \phi}{(\ker \phi + J)/ \ker \phi} \cong \frac{S}{\phi(J)}$
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
136623
Hints/ Solution in finding a formula $\phi(n)$ for a binary square matrix
30327
$\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
15276
$G \times H \cong G \times K$ , then $ K \cong H$
46065
How do you find all $n$ such that $\phi(n)|n$
18330
Does $R[x] \cong S[x]$ imply $R \cong S$?
147888
Show that $M=\bigcap_{\mathfrak{p}\in\operatorname{Spec}(R)}M_\mathfrak{p}=\bigcap_{\mathfrak{m}\in\text{Max}(R)}M_\mathfrak{m}$ for certain $M$.
51898
Show that $\operatorname{Hom}_{R} (R,M) \cong M$
17191
How to verify $H\otimes K \cong \bigoplus\limits_{i\in I}H$
73235
Rings $R/I \cong h(R)/h(I)\,$ for injective ring hom $h$
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
98587
$\mathbb Z [X] / (X)$ isomorphic to $\mathbb Z[X] / (X+1)$ isomorphic to $\mathbb Z [X] / (X+2015)$
118898
Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
70861
$\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$
137982
Show that $\textbf{ZF}$ shows $\phi$ is $\Delta_1$