List questions from solution-verification

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$A[X, Y ]/(X^2+Y^2−1)$ is integral domain

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160

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Hausdorff Maximal Principle Equivalence

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Row Space using a Vector Representation

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Airport queue possibilities

Published on 15 Apr 2026 - 23:21

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The abelianization of $\langle t_1,...,t_n | t_1^2...t_n^2 \rangle$ is $\mathbb{Z}^{n-1} \oplus \mathbb{Z}/2\mathbb{Z}$

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Which is greater: $101^{99}\text{ or }100^{100}$?

Published on 11 May 2026 - 0:43

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Exercise 2.C.14 - Linear Algebra Done Right

Published on 17 Apr 2026 - 12:00

172

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Where does $(\tan x)^{\sin x}=(\cot x)^{\cos x}$?

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108

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Solving for $x$ in $\frac{(x+2)!}{(x-1)!}=60$

Published on 15 Apr 2026 - 17:54

80

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Prove that there are $g_1, g_2, \cdots, g_n \in G$ with $g_i x_1 = x_i$ such that $g_1 H, g_2 H, \cdots, g_n H$ are all the left cosets of $H$ in $G$.

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Show that $\mathbb{Q}[x] \backslash \langle x^2-3 \rangle$ is isomorphic to $\mathbb{Q}(\sqrt{3})$

Published on 17 Apr 2026 - 0:42

104

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Necessity of the Replacement Theorem for erasing null quantifiers

Published on 13 Apr 2026 - 7:42

58

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Show that if $n \mid (p-1)$ and $p \mid (n^4+n^3-n-1)$, then $4p-3$ is a quadratic number.

Published on 17 Apr 2026 - 9:59

61

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Polynomial in two variables being constantly 0

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List Question

Is $\operatorname{cf}(2^{<\kappa})=\operatorname{cf}(\kappa)$?

$A[X, Y ]/(X^2+Y^2−1)$ is integral domain

Hausdorff Maximal Principle Equivalence

Row Space using a Vector Representation

Airport queue possibilities

The abelianization of $\langle t_1,...,t_n | t_1^2...t_n^2 \rangle$ is $\mathbb{Z}^{n-1} \oplus \mathbb{Z}/2\mathbb{Z}$

Which is greater: $101^{99}\text{ or }100^{100}$?

Exercise 2.C.14 - Linear Algebra Done Right

Where does $(\tan x)^{\sin x}=(\cot x)^{\cos x}$?

Solving for $x$ in $\frac{(x+2)!}{(x-1)!}=60$

Prove that there are $g_1, g_2, \cdots, g_n \in G$ with $g_i x_1 = x_i$ such that $g_1 H, g_2 H, \cdots, g_n H$ are all the left cosets of $H$ in $G$.

Show that $\mathbb{Q}[x] \backslash \langle x^2-3 \rangle$ is isomorphic to $\mathbb{Q}(\sqrt{3})$

Necessity of the Replacement Theorem for erasing null quantifiers

Show that if $n \mid (p-1)$ and $p \mid (n^4+n^3-n-1)$, then $4p-3$ is a quadratic number.

Polynomial in two variables being constantly 0

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