$M\otimes A_\mathfrak{p}/\mathfrak{p}A_\mathfrak{p}\neq0$ if and only if $\text{Ann}(M)\subseteq \mathfrak{p}$?
68449
$\operatorname{Supp}(M)=V(\operatorname{Ann}M)$ if $M$ is finitely generated
155884
What are the conditions on $\text{tr}(AB) \leq \text{tr(A)} \text{tr(B)}$ to be true?
91935
If $x \equiv a \pmod {p_1}$ and $x\equiv a \pmod{p_2}$, then is it true that $x\equiv a \pmod{p_1p_2} ?$
27821
A problem on rank of $A$ and $\operatorname{adj}(A)$
130367
Proof that $K\otimes_F L$ is not noetherian
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
105594
Fixed point, union of $\aleph_0, \aleph_{\aleph_0},\aleph_{\aleph_{\aleph_0}}\dots$ [see Noah's comment on notation]
17191
How to verify $H\otimes K \cong \bigoplus\limits_{i\in I}H$
90055
Show that $\mathcal P(x)\notin x$
7870
For $M\otimes_R N$, why is it so imperative that $M$ be a right $R$-module and $N$ a left $R$-module?
111348
Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
106401
Prove: $p-mq | f(m)$ where $m$ is any integer
103380
Is $\operatorname{height} \mathfrak{p} + \dim A / \mathfrak{p} = \dim A$ true?
84251
Show that $\Gamma \cup \{\neg \phi\}$ is satisfiable if and only if $\Gamma\not \models \phi$
64077
$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
16172
My proof of $I \otimes N \cong IN$ is clearly wrong, but where have I gone wrong?
113411
If $E$ is generated by $E_1$ and $E_2$, then $[E:F]\leq [E_1:F][E_2:F]$?