Question

Let $F$ be a field and let $f(x)$ be a non constant element of $F[x]$. Then, there exists a splitting field $E$ for $f(x)$ over $F$.

score 135 · Answer 1 · 2026-04-14 18:21:37

135

Views

Let $F$ be a field and let $f(x)$ be a non constant element of $F[x]$. Then, there exists a splitting field $E$ for $f(x)$ over $F$.

Published on 14 Apr 2026 - 18:21

score 1.4k · Answer 2 · 2026-04-14 08:49:52

1.4k

Views

Image of a Prime ideals in quotient ring

Published on 14 Apr 2026 - 8:49

score 145 · Answer 3 · 2026-04-28 03:15:57

145

Views

Example of a ring of finite global dimension with flat qu0tient

Published on 28 Apr 2026 - 3:15

score 481 · Answer 4 · 2026-04-15 07:19:01

481

Views

Nilpotent and Invertible elements in commutative ring with 1

Published on 15 Apr 2026 - 7:19

score 4k · Answer 5 · 2026-04-12 01:45:57

4k

Views

What exactly is a maximal ideal?

Published on 12 Apr 2026 - 1:45

score 3.9k · Answer 6 · 2026-04-24 00:32:57

3.9k

Views

Calculating the reminder when dividing complex numbers

Published on 24 Apr 2026 - 0:32

score 305 · Answer 7 · 2026-04-14 16:48:09

305

Views

More classes of rings spanned by units?

Published on 14 Apr 2026 - 16:48

score 156 · Answer 8 · 2026-04-14 01:35:23

156

Views

Finitely generated quotient module isomorphism

Published on 14 Apr 2026 - 1:35

score 154 · Answer 9 · 2026-04-15 12:12:02

154

Views

Showing $\sqrt{2} \notin E.$

Published on 15 Apr 2026 - 12:12

score 439 · Answer 10 · 2026-04-16 13:20:12

439

Views

Commutative and anticommutative ring that respects $x^2 = 0$, where $0$ is additive identity

Published on 16 Apr 2026 - 13:20

score 118 · Answer 11 · 2026-04-10 19:01:20

118

Views

Direct proof that $\mathbb{Z}/p\mathbb{Z}$ is not a flat $\mathbb{Z}/p^2\mathbb{Z}$-module.

Published on 10 Apr 2026 - 19:01

score 86 · Answer 12 · 2026-04-14 09:39:03

86

Views

Question concerning a list sorting problem

Published on 14 Apr 2026 - 9:39

score 195 · Answer 13 · 2026-04-24 17:52:26

195

Views

Finitely generated ideal with special property

Published on 24 Apr 2026 - 17:52

score 132 · Answer 14 · 2026-04-16 23:25:53

$R$ is a ring. $(R,+)\cong(Z_2\oplus Z_4,+)$, indecomposable, $\nexists$ 1, noncommutative, has an idempotent $e\neq 0$. Show that $2e\neq 0$.

score 85 · Answer 15 · 2026-04-14 06:15:49

85

Views

Some irreducible polynomial

Published on 14 Apr 2026 - 6:15

List Question

Let $F$ be a field and let $f(x)$ be a non constant element of $F[x]$. Then, there exists a splitting field $E$ for $f(x)$ over $F$.

Image of a Prime ideals in quotient ring

Example of a ring of finite global dimension with flat qu0tient

Nilpotent and Invertible elements in commutative ring with 1

What exactly is a maximal ideal?

Calculating the reminder when dividing complex numbers

More classes of rings spanned by units?

Finitely generated quotient module isomorphism

Showing $\sqrt{2} \notin E.$

Commutative and anticommutative ring that respects $x^2 = 0$, where $0$ is additive identity

Direct proof that $\mathbb{Z}/p\mathbb{Z}$ is not a flat $\mathbb{Z}/p^2\mathbb{Z}$-module.

Question concerning a list sorting problem

Finitely generated ideal with special property

$R$ is a ring. $(R,+)\cong(Z_2\oplus Z_4,+)$, indecomposable, $\nexists$ 1, noncommutative, has an idempotent $e\neq 0$. Show that $2e\neq 0$.

Some irreducible polynomial

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