List questions from abstract-algebra

Published on 12 Apr 2026 - 2:16

339

Views

How can I prove that the cyclotomic integers $\frac{\zeta_p^r - 1}{\zeta_p^s - 1}$, with $\ p\nmid rs$, are units?

Published on 29 Apr 2026 - 12:41

197

Views

Surjective group homomorphism from $GL(n, \mathbb{F}_{p})$

Published on 16 Apr 2026 - 11:53

216

Views

The kernel of a morphism of co-rings is a co-ideal

Published on 04 May 2026 - 6:48

289

Views

$\zeta_5$ has degree $4$ over $\mathbb{Q}$ and $\zeta_7$ has degree $6$ over $\mathbb{Q}$

Published on 14 Apr 2026 - 4:13

51

Views

Abstract Algebra - Size of the generating set

Published on 14 Apr 2026 - 4:26

131

Views

How to factor this polynomial over $\mathbb{F}_2$

Published on 17 Apr 2026 - 2:14

244

Views

Find all $\mathbb{Q}$ subspaces of $\mathbb{Q} \times \mathbb{R}$

Published on 17 Apr 2026 - 9:55

174

Views

Show that $[k(t): k(t^4 + t) ] = 4$

Published on 29 Apr 2026 - 12:52

31

Views

Lifting of $n$-potents

Published on 14 Apr 2026 - 13:58

1.1k

Views

Show that the cycle decomposition of a permutation can be recovered by considering the orbits of the action of its cyclic group on $\{1, 2, ..., n\}$

Published on 13 Apr 2026 - 23:47

395

Views

Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra

Published on 01 May 2026 - 8:37

296

Views

$h\in H$ group $\rightarrow hH=Hh$?

Published on 16 Apr 2026 - 19:18

1k

Views

Finding a presentation matrix for an $F[t]$-module

Published on 14 Apr 2026 - 0:33

42

Views

How would I factor this equation that was calculated as the determinant of a matrix?

Published on 14 Apr 2026 - 14:20

List Question

Maximal ideal in $\mathbb Z[\sqrt 2]$

How can I prove that the cyclotomic integers $\frac{\zeta_p^r - 1}{\zeta_p^s - 1}$, with $\ p\nmid rs$, are units?

Surjective group homomorphism from $GL(n, \mathbb{F}_{p})$

The kernel of a morphism of co-rings is a co-ideal

$\zeta_5$ has degree $4$ over $\mathbb{Q}$ and $\zeta_7$ has degree $6$ over $\mathbb{Q}$

Abstract Algebra - Size of the generating set

How to factor this polynomial over $\mathbb{F}_2$

Find all $\mathbb{Q}$ subspaces of $\mathbb{Q} \times \mathbb{R}$

Show that $[k(t): k(t^4 + t) ] = 4$

Lifting of $n$-potents

Show that the cycle decomposition of a permutation can be recovered by considering the orbits of the action of its cyclic group on $\{1, 2, ..., n\}$

Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra

$h\in H$ group $\rightarrow hH=Hh$?

Finding a presentation matrix for an $F[t]$-module

How would I factor this equation that was calculated as the determinant of a matrix?

Trending Questions

Popular # Hahtags

Popular Questions