List questions from hensels-lemma | MathQa

Using Hensel's Lifting Lemma to Solve $x^2 + x + 34 \equiv 0 \pmod{81}$

Published on 12 Jan 2025 - 23:56

Proving Hensel's Lemma for the ring of formal power series over the complex numbers

Published on 13 Jan 2025 - 2:21

Give a sufficient condition for the general monic quadratic polynomial $f(X)=X^2+bX+c∈\mathbb Z[X]$ to have solutions in $\mathbb{Z}/p^n\mathbb{Z}$

Published on 13 Jan 2025 - 0:45

Prove that the field of Puiseux series over $\mathbb C$ is algebraically closed

Published on 13 Jan 2025 - 0:01

Elementary proof for: If x is a quadratic residue mod p, then it is a quadratic residue mod p^k

Published on 13 Jan 2025 - 0:05

Using Hensel's Lemma to find the number of solutions.

Published on 12 Jan 2025 - 23:48

$/6 = 10 \pmod {7^2}$

Published on 12 Jan 2025 - 16:38

Finding primitive root of unity using Newton iteration

Published on 12 Jan 2025 - 23:50

Strict Henselization of $k[T]_{\mathfrak{p}}$?

Published on 12 Jan 2025 - 23:36

On the prime spectrum of completion of local rings

Published on 12 Jan 2025 - 23:47