kernel of $\varphi: \mathbb{C}[x, y] \rightarrow \mathbb{C}[t]$ $x \rightsquigarrow x(t)$ $y \rightsquigarrow y(t)$
63447
Prove that the kernel of a homomorphism is a principal ideal. (Artin, Exercise 9.13)
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
60655
$\ker T\subset \ker S\Rightarrow S=rT$ when $S$ and $T$ are linear functionals
109080
Is the kernel of a map to a finitely presented module finitely generated?
83815
Identify the universal property of kernels
11082
Borel-Cantelli Lemma "Corollary" in Royden and Fitzpatrick
124424
How to show that there is a deduction of $\varphi\leftrightarrow\psi$
15695
Is ${\rm conv}({\rm ext}((C(X))_1))$ dense in $(C(X))_1$?
88199
The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
103924
Kernel of a substitution map
145462
On the canonical isomorphism between $V$ and $V^{**}$
104505
Is every normal subgroup the kernel of some endomorphism?
63104
Dual cone of $K = \{(x,t) \mid \| \boldsymbol{x} \|_1 \le t \}$
359
Show that $\ker \hat{T} = \text{ann}(\text{range } T)$
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
95806
Proving commutativity of convolution $(f \ast g)(x) = (g \ast f)(x)$
125966
Why there's a finite $\Gamma '$ such that $\Gamma ' \vDash \varphi$?