Question

Number of elements and units in quotients of $\mathbb Z[i]$

score 467 · Answer 1 · 2026-04-13 03:53:47

467

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Number of elements and units in quotients of $\mathbb Z[i]$

Published on 13 Apr 2026 - 3:53

score 232 · Answer 2 · 2026-04-16 09:15:09

232

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What is $\operatorname{Ass}\operatorname{Ext}^i(M,N)$?

Published on 16 Apr 2026 - 9:15

score 7.2k · Answer 3 · 2026-04-15 02:04:27

7.2k

Views

A field with characteristic $0$ contains $\mathbb Q$

Published on 15 Apr 2026 - 2:04

score 2.8k · Answer 4 · 2026-04-13 19:47:36

2.8k

Views

Direct product of finitely many Noetherian non-unital rings is Noetherian

Published on 13 Apr 2026 - 19:47

score 67 · Answer 5 · 2026-04-15 18:08:13

67

Views

Units and Primes in a Ring

Published on 15 Apr 2026 - 18:08

score 219 · Answer 6 · 2026-04-15 11:20:41

219

Views

$z\in\mathfrak R$ iff for every $a\in A$ there is $w$ for which $z+w=zaw=waz$.

Published on 15 Apr 2026 - 11:20

score 62 · Answer 7 · 2026-04-16 12:25:34

62

Views

Kahler forms of a smooth affine algebra vanish eventually?

Published on 16 Apr 2026 - 12:25

score 62 · Answer 8 · 2026-04-13 16:48:15

62

Views

The $i^{th}$ prime in a given ring R

Published on 13 Apr 2026 - 16:48

score 63 · Answer 9 · 2026-04-12 03:14:07

63

Views

an ideal of matrix ring which is projective

Published on 12 Apr 2026 - 3:14

score 396 · Answer 10 · 2026-04-14 11:03:28

396

Views

Classification of separable algebras over a commutative ring

Published on 14 Apr 2026 - 11:03

score 96 · Answer 11 · 2026-04-12 08:03:30

96

Views

$R^{(I)} \cong K \oplus H$ where $R^{(I)}$ is free but $K$ is not free

Published on 12 Apr 2026 - 8:03

score 779 · Answer 12 · 2026-04-24 09:46:28

779

Views

What is necessary and/or sufficient for polynomials to provide isomorphic quotient rings?

Published on 24 Apr 2026 - 9:46

score 4.2k · Answer 13 · 2026-04-13 10:43:57

4.2k

Views

Finitely generated ring.

Published on 13 Apr 2026 - 10:43

score 3.5k · Answer 14 · 2026-04-13 22:36:55

3.5k

Views

Let $F$ be a field. Show that the field of quotients of $F$ is ring isomorphic to $F$. My Attempt Shown

Published on 13 Apr 2026 - 22:36

score 551 · Answer 15 · 2026-04-15 18:54:19

551

Views

Suppose that $n$ divides $m$ and that $a$ is an idempotent of $Z_n$. Show that the mapping $x \rightarrow ax$ is a ring homomorphism

Published on 15 Apr 2026 - 18:54

List Question

Number of elements and units in quotients of $\mathbb Z[i]$

What is $\operatorname{Ass}\operatorname{Ext}^i(M,N)$?

A field with characteristic $0$ contains $\mathbb Q$

Direct product of finitely many Noetherian non-unital rings is Noetherian

Units and Primes in a Ring

$z\in\mathfrak R$ iff for every $a\in A$ there is $w$ for which $z+w=zaw=waz$.

Kahler forms of a smooth affine algebra vanish eventually?

The $i^{th}$ prime in a given ring R

an ideal of matrix ring which is projective

Classification of separable algebras over a commutative ring

$R^{(I)} \cong K \oplus H$ where $R^{(I)}$ is free but $K$ is not free

What is necessary and/or sufficient for polynomials to provide isomorphic quotient rings?

Finitely generated ring.

Let $F$ be a field. Show that the field of quotients of $F$ is ring isomorphic to $F$. My Attempt Shown

Suppose that $n$ divides $m$ and that $a$ is an idempotent of $Z_n$. Show that the mapping $x \rightarrow ax$ is a ring homomorphism

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