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Lifting solutions modulo $2^{10}$ to a solution $2^{19}$

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#modular-arithmetic #hensels-lemma
882
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Count number of roots of polynomial modulo prime power

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#polynomials #prime-numbers #modular-arithmetic #hensels-lemma
521
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Number of solutions of a polynomial in $p$-adic integers

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#number-theory #polynomials #modular-arithmetic #p-adic-number-theory #hensels-lemma
199
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Proving the number of solutions to an equation in $p$-adic numbers

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#number-theory #prime-numbers #modular-arithmetic #p-adic-number-theory #hensels-lemma
102
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Applying Hensel's Lemma When Leading Coefficient is Not a Unit

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#elementary-number-theory #polynomials #algebraic-number-theory #p-adic-number-theory #hensels-lemma
156
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Building the Henselization from above: J.S. Milne, Étale Cohomology (PMS-33), Exercise 4.9

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#commutative-algebra #local-rings #etale-cohomology #hensels-lemma
73
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Is there an example for the Greenleaf theorem?

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#number-theory #diophantine-equations #model-theory #p-adic-number-theory #hensels-lemma
1.9k
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Understanding Hensel's Lemma

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#elementary-number-theory #modular-arithmetic #hensels-lemma
384
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What does $p\mathbb{Z}_p$ mean?

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#number-theory #definition #p-adic-number-theory #hensels-lemma
372
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Strict Henselization of $k[T]_{\mathfrak{p}}$?

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#algebraic-geometry #commutative-algebra #etale-cohomology #hensels-lemma
390
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On the prime spectrum of completion of local rings

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#algebraic-geometry #commutative-algebra #local-rings #hensels-lemma
100
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Statement of a general form of Hensel's lemma

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#commutative-algebra #hensels-lemma
146
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Hensel's Lemma - Unique in what sense?

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#modular-arithmetic #hensels-lemma
56
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Henselization, localizations and diagonals: are these two rings the same?

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#algebraic-geometry #commutative-algebra #hensels-lemma
288
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Square root of $-1$ in the ring $\mathbb{R}[x]/\langle(x^2+1)^2\rangle$

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#abstract-algebra #polynomials #ring-theory #hensels-lemma

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