Rings $R/I \cong h(R)/h(I)\,$ for injective ring hom $h$
49806
Prove that $\frac{R/ \ker \phi}{(\ker \phi + J)/ \ker \phi} \cong \frac{S}{\phi(J)}$
87946
Proving that the unities of a ring form a group under multiplication
103427
When is $\operatorname{Hom}_A(M,N)$ finitely generated?
10908
Associated elements in a ring
21840
Zero divisors and units for the ring $\mathbb{Z}/n\mathbb{Z}$ with integer $n$
129025
Quotient ring local if Ring is local
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
38571
Localization of a total quotient ring of a reduced ring
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
124230
What is $\operatorname{Hom}_\mathbb{Z}(\mathbb{Q}/\mathbb{Z},\mathbb{Q}/\mathbb{Z})$?
142699
Is $R/N(R)$ a faithfully flat $R$-module?
50212
$R/Ra$ is an injective module over itself
94090
How to show that for any abelian group $G$, $\text{Hom}(\mathbb{Z},G)$ is isomorphic to $G$
43645
Show that $G/H\cong S_3$
119702
Showing a bijection between the set of ringhomomorphisms $\mathbb{Z}[i] \to R$ and the set of $x \in R$ for which $x^2+1=0$
48818
Homomorphism of local rings
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.