Question

Show that a polynomial is irreducible using Galois

score 216 · Answer 1 · 2026-04-13 11:13:03

216

Views

Show that a polynomial is irreducible using Galois

Published on 13 Apr 2026 - 11:13

score 1.2k · Answer 2 · 2026-04-17 21:31:25

1.2k

Views

Let $F[[X]]$ be the ring of formal power series over the field $F$. Show that $(X)$ is a maximal ideal.

Published on 17 Apr 2026 - 21:31

score 421 · Answer 3 · 2026-04-15 06:43:08

421

Views

Torsion part of an Abelian group

Published on 15 Apr 2026 - 6:43

score 93 · Answer 4 · 2026-04-17 09:33:28

93

Views

Are $\alpha\beta$ or $\alpha+\beta$ trascendental over $F$?

Published on 17 Apr 2026 - 9:33

score 221 · Answer 5 · 2026-04-17 08:29:15

221

Views

Showing that if $ker(\theta) \subseteq A$ (an ideal in R) then $R/A \simeq S/\theta(A)$

Published on 17 Apr 2026 - 8:29

score 102 · Answer 6 · 2026-04-09 23:37:15

102

Views

Question about self homomorphism of dyadic rationals

Published on 09 Apr 2026 - 23:37

score 457 · Answer 7 · 2026-04-14 15:29:11

457

Views

Is the definition of the binary operation of a group intrinsic to the set elements?

Published on 14 Apr 2026 - 15:29

score 532 · Answer 8 · 2026-04-16 22:11:44

532

Views

Prove that $\mathbb{Z}_{5}[x]/(x^2+1)$ is isomorphic to $\mathbb{Z}_{5} \times \mathbb{Z}_{5}$.

Published on 16 Apr 2026 - 22:11

score 53 · Answer 9 · 2026-04-14 05:44:02

53

Views

Group Homormorphisms

Published on 14 Apr 2026 - 5:44

score 541 · Answer 10 · 2026-04-12 04:24:27

541

Views

Every homomorphism $\varphi : F \to R$ from a field $F$ to a nonzero ring $R$ is injective: proof details in Artin

Published on 12 Apr 2026 - 4:24

score 573 · Answer 11 · 2026-04-12 03:41:23

573

Views

$\mathrm{card}(\mathbb{Z}^n/M\mathbb{Z}^n) = |\det(M)|$?

Published on 12 Apr 2026 - 3:41

score 61 · Answer 12 · 2026-04-16 04:24:12

61

Views

A property similar to compactly packed

Published on 16 Apr 2026 - 4:24

score 62 · Answer 13 · 2026-04-16 03:29:12

62

Views

If G is abelian and $n>1$ is an integer, then $A=\{a^n \mid a \in G\}$ is a subgroup of $G$.

Published on 16 Apr 2026 - 3:29

score 39 · Answer 14 · 2026-04-16 08:56:03

39

Views

Let $p=x^2+1 \in \mathbb{Z}/3[x]$ . write down the multiplication table for $\mathbb{Z}/3[x]/(p)$

Published on 16 Apr 2026 - 8:56

score 44 · Answer 15 · 2026-04-11 21:01:46

44

Views

Symmetric product of a $k-$algebra

Published on 11 Apr 2026 - 21:01

List Question

Show that a polynomial is irreducible using Galois

Let $F[[X]]$ be the ring of formal power series over the field $F$. Show that $(X)$ is a maximal ideal.

Torsion part of an Abelian group

Are $\alpha\beta$ or $\alpha+\beta$ trascendental over $F$?

Showing that if $ker(\theta) \subseteq A$ (an ideal in R) then $R/A \simeq S/\theta(A)$

Question about self homomorphism of dyadic rationals

Is the definition of the binary operation of a group intrinsic to the set elements?

Prove that $\mathbb{Z}_{5}[x]/(x^2+1)$ is isomorphic to $\mathbb{Z}_{5} \times \mathbb{Z}_{5}$.

Group Homormorphisms

Every homomorphism $\varphi : F \to R$ from a field $F$ to a nonzero ring $R$ is injective: proof details in Artin

$\mathrm{card}(\mathbb{Z}^n/M\mathbb{Z}^n) = |\det(M)|$?

A property similar to compactly packed

If G is abelian and $n>1$ is an integer, then $A=\{a^n \mid a \in G\}$ is a subgroup of $G$.

Let $p=x^2+1 \in \mathbb{Z}/3[x]$ . write down the multiplication table for $\mathbb{Z}/3[x]/(p)$

Symmetric product of a $k-$algebra

Trending Questions

Popular # Hahtags

Popular Questions