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10
Math.TechQA.Club
2025-01-13 00:12:27
102
Views
Conway's proof of the Euclid lemma
Published on
13 Jan 2025 - 0:12
#number-theory
#elementary-number-theory
#ideals
#integers
#integer-rings
1k
Views
Idea behind the definition of different ideal
Published on
13 Jan 2025 - 4:29
#abstract-algebra
#algebraic-number-theory
#ideals
#ramification
#integer-rings
345
Views
Use of GCD when solving linear equations in a ring of integers
Published on
13 Jan 2025 - 0:31
#congruences
#gcd-and-lcm
#integer-rings
977
Views
How to compute the integral closure of $\Bbb{Z}$ in $\mathbb Q(\sqrt[n]{p})$?
Published on
13 Jan 2025 - 0:31
#abstract-algebra
#algebraic-number-theory
#integral-dependence
#integer-rings
927
Views
$p$ is a positive integer and $(p)$ is a maximal ideal in the ring $(\mathbb Z, +,\cdot)$, then $p$ is a prime number
Published on
13 Jan 2025 - 0:42
#abstract-algebra
#ideals
#maximal-and-prime-ideals
#integer-rings
485
Views
Determining when ring of integers is $\mathbb{Z}[\theta]$
Published on
13 Jan 2025 - 0:23
#number-theory
#algebraic-number-theory
#integer-rings
49
Views
polynomial multiplication with integer polynomial result
Published on
13 Jan 2025 - 0:27
#polynomials
#polynomial-rings
#integer-rings
63
Views
Second summand to make projective module free
Published on
13 Jan 2025 - 0:19
#projective-module
#integer-rings
729
Views
Existence of a fundamental solution to the Pell's equation
Published on
13 Jan 2025 - 0:28
#number-theory
#algebraic-number-theory
#pell-type-equations
#integer-rings
95
Views
Why $\mathbb{Z}[\theta]\,/\,\mathcal{P} \simeq \mathbb{F}_{p^e}$ for any non-zero prime ideal $\mathcal{P}$ of $\mathbb{Z}[\theta]$?
Published on
13 Jan 2025 - 0:43
#algebraic-number-theory
#ideals
#finite-fields
#maximal-and-prime-ideals
#integer-rings
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