Why is $A/\mathrm{ann}(M)$ necessarily Artinian?
58532
If $M$ is an Artinian $R$-module then $R/\mbox{ann}(M)$ is an Artinian ring?
19754
$\mathbb{R}$ \ $\mathbb{Q}$ and $\mathbb{R}^2\setminus\mathbb{Q}^2$ disconnected?
23392
The annihilator of a module is an ideal
8554
Proof: $\mathrm{adj}(\mathrm{adj}(A)) = (\mathrm{det}(A))^{n-2} \cdot A$ for $A \in \mathbb{R}^{n\times n}$
132366
Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
36747
$\text{Tor}_0^R(M,N)\simeq M\otimes_R N$
122189
Show that $M[x]$ is a Noetherian $A[x]$-module.
111746
$(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.
148824
Is associative binary operator closed on this subset?
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
111348
Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
158364
Are there uncountably many $A\in M_3 (\mathbb {R})$ such that $A^8=I $?
12272
Why $a$ is not an essential singularity and how $f$ can be extended
3296
Proof That $\mathbb{R} \setminus \mathbb{Q}$ Is Not an $F_{\sigma}$ Set
154142
Finding a specific basis for an endomorphism
155828
How do I show that $A$ and $A^T$ are similar, given that the minimal polynomial of $A$ splits over $\mathbb{F}$?