Question

Is it possible to define an automorphism on the structure $\mathfrak{Q}=(\mathbb{Q},<)$ and what would be an example?

score 72 · Answer 1 · 2026-04-10 06:41:26

72

Views

Is it possible to define an automorphism on the structure $\mathfrak{Q}=(\mathbb{Q},<)$ and what would be an example?

Published on 10 Apr 2026 - 6:41

score 39 · Answer 2 · 2026-04-11 19:12:30

39

Views

Equality in field with characteristic p

Published on 11 Apr 2026 - 19:12

score 67 · Answer 3 · 2026-04-11 22:52:33

67

Views

Solving a system of equations problem

Published on 11 Apr 2026 - 22:52

score 68 · Answer 4 · 2026-04-09 01:12:57

68

Views

$A \subseteq B \subseteq C$, with $A$ and $C$ simple rings, but $B$ is not a simple ring

Published on 09 Apr 2026 - 1:12

score 2.5k · Answer 5 · 2018-01-31 22:57:02

Show that all elements in the conjugacy class of $\sigma$ in $S_n$ are conjugate in $A_n$ if and only if $\sigma$ commutes with an odd permutation.

score 107 · Answer 6 · 2026-04-11 12:28:13

107

Views

Simplicity of Noetherian $B$, $A \subseteq B\subseteq C$, where $A$ and $C$ are simple Noetherian domains

Published on 11 Apr 2026 - 12:28

score 577 · Answer 7 · 2026-03-25 10:57:01

577

Views

Show that $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$ is a Euclidean Domain.

Published on 25 Mar 2026 - 10:57

score 768 · Answer 8 · 2026-04-11 04:13:48

768

Views

Let $φ:\mathbb{C[x,y,z]}\to \mathbb{C[t]}$ by $φ(f(x,y,z))=f(t,t^2,t^3)$. Find generators for ker($φ$)

Published on 11 Apr 2026 - 4:13

score 91 · Answer 9 · 2026-04-09 00:53:06

91

Views

Is $\mathbb R[x]/(x^2-2)=\mathbb R$?

Published on 09 Apr 2026 - 0:53

score 359 · Answer 10 · 2026-04-09 15:39:11

359

Views

How do I know if an ideal $I$ in $\mathbb Z[x]$ is principal? maximal?

Published on 09 Apr 2026 - 15:39

score 202 · Answer 11 · 2026-04-12 02:49:36

An abstract algebra teacher wanted to give his students a list of nine whole numbers that form a group under multiplication modulo 91.

score 366 · Answer 12 · 2026-04-09 00:03:50

366

Views

A confusing formula in Clifford algebra

Published on 09 Apr 2026 - 0:03

score 1.2k · Answer 13 · 2018-02-01 04:54:29

1.2k

Views

Give an example of a group G and elements a , b ∈ G such that a^{-1}(ba) ≠ b.

Published on 01 Feb 2018 - 4:54

score 138 · Answer 14 · 2018-02-01 05:28:03

138

Views

Consider the group $G = GL(2, \Bbb Z_{11})$. How many elements does $G$ have?

Published on 01 Feb 2018 - 5:28

score 192 · Answer 15 · 2026-04-08 23:46:53

192

Views

$R/(a) \oplus R/(b) \cong R/\gcd(a,b) \oplus R/\operatorname{lcm}(a,b) $

Published on 08 Apr 2026 - 23:46

List Question

Is it possible to define an automorphism on the structure $\mathfrak{Q}=(\mathbb{Q},<)$ and what would be an example?

Equality in field with characteristic p

Solving a system of equations problem

$A \subseteq B \subseteq C$, with $A$ and $C$ simple rings, but $B$ is not a simple ring

Show that all elements in the conjugacy class of $\sigma$ in $S_n$ are conjugate in $A_n$ if and only if $\sigma$ commutes with an odd permutation.

Simplicity of Noetherian $B$, $A \subseteq B\subseteq C$, where $A$ and $C$ are simple Noetherian domains

Show that $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$ is a Euclidean Domain.

Let $φ:\mathbb{C[x,y,z]}\to \mathbb{C[t]}$ by $φ(f(x,y,z))=f(t,t^2,t^3)$. Find generators for ker($φ$)

Is $\mathbb R[x]/(x^2-2)=\mathbb R$?

How do I know if an ideal $I$ in $\mathbb Z[x]$ is principal? maximal?

An abstract algebra teacher wanted to give his students a list of nine whole numbers that form a group under multiplication modulo 91.

A confusing formula in Clifford algebra

Give an example of a group G and elements a , b ∈ G such that a^{-1}(ba) ≠ b.

Consider the group $G = GL(2, \Bbb Z_{11})$. How many elements does $G$ have?

$R/(a) \oplus R/(b) \cong R/\gcd(a,b) \oplus R/\operatorname{lcm}(a,b) $

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