$\text{Tor}_0^R(M,N)\simeq M\otimes_R N$
133238
Why does $\mathrm{Tor}_0^R(M,N)\cong M\otimes_R N$?
26728
Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
109647
Ext$_R^n(Q,A)=0=$Tor$_n^R(Q,A)$ where $Q$ is the field of fractions of a domain $R$
6121
Quotient ring of Gaussian integers
43188
The $n^{th}$ root of the geometric mean of binomial coefficients.
7870
For $M\otimes_R N$, why is it so imperative that $M$ be a right $R$-module and $N$ a left $R$-module?
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
83542
A natural problem in $\textrm{S}_2^\textrm{P}$?
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
120985
Prove that $\mathrm{Res}[f/g,z_0]=\frac{f(z_0)}{g'(z_0)}$
84871
Determining the dimension of span$\{AB-BA : A,B \in M_{n \times n}(\mathbb R) \}$
72211
Isomorphism involving Eilenberg-Maclane space, Tors.
52324
Tight bound for $T(n) = T(n^{1/2}) + 1$
124827
Show that $Y\sim N(a+A\mu,AVA^T)$
63803
Calculating the tensor product $\mathbb{Z}/n\mathbb{Z} \otimes_{\mathbb Z} \mathbb{Z}/n\mathbb{Z}$