List questions from abstract-algebra

166

Views

showing that $F((t))=\big\{\sum\limits_{n=N}^{\infty}a_nt^n\ :\ N\in\mathbb{Z}, a_n\in F\big\}$ is a field for a field $F$

Published on 16 Apr 2026 - 14:09

2.3k

Views

Non-Abelian groups with all proper subgroups Abelian

Published on 11 Apr 2026 - 5:47

124

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How to prove two of following central extensions are isomorphic?

Published on 12 Apr 2026 - 4:26

1.5k

Views

An $n$ degree polynomial with more than $n$ roots?

Published on 29 Apr 2026 - 12:49

155

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confused about $\Bbb F_3(\alpha) \cong \Bbb F_3/\langle x^3+2x+2\rangle$

Published on 16 Apr 2026 - 5:51

542

Views

Computing the degree of extension of local fields from the corresponding global fields

Published on 14 Apr 2026 - 10:08

367

Views

Showing that a direct product is non-cyclic

Published on 14 Apr 2026 - 11:34

1.7k

Views

How to show that upper triangular matrices form a subgroup?

Published on 14 Apr 2026 - 3:33

1.4k

Views

Primes in ring theory

Published on 12 Apr 2026 - 4:02

61

Views

Why this is an exact sequence?

Published on 15 Apr 2026 - 21:32

86

Views

What is $(x^7-x)mod(x^6-3)$ equal to?

Published on 15 Apr 2026 - 20:36

140

Views

Conditions for equivalent definitions of division algebra

Published on 04 May 2026 - 8:41

169

Views

About number of algebra of dimension 2 over a field

Published on 14 Apr 2026 - 7:40

299

Views

Centralizer of order $pq$ is abelian

Published on 13 Apr 2026 - 21:38

505

Views

Galois extension from $GF(5)$ to $GF(25)$.

Published on 22 Apr 2026 - 12:42

List Question

showing that $F((t))=\big\{\sum\limits_{n=N}^{\infty}a_nt^n\ :\ N\in\mathbb{Z}, a_n\in F\big\}$ is a field for a field $F$

Non-Abelian groups with all proper subgroups Abelian

How to prove two of following central extensions are isomorphic?

An $n$ degree polynomial with more than $n$ roots?

confused about $\Bbb F_3(\alpha) \cong \Bbb F_3/\langle x^3+2x+2\rangle$

Computing the degree of extension of local fields from the corresponding global fields

Showing that a direct product is non-cyclic

How to show that upper triangular matrices form a subgroup?

Primes in ring theory

Why this is an exact sequence?

What is $(x^7-x)mod(x^6-3)$ equal to?

Conditions for equivalent definitions of division algebra

About number of algebra of dimension 2 over a field

Centralizer of order $pq$ is abelian

Galois extension from $GF(5)$ to $GF(25)$.

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