Question

If $J \subseteq M_n(R)$ is ideal, then $J = M_n(I)$ for some ideal $I \subseteq R$.

score 254 · Answer 1 · 2026-04-14 03:40:54

254

Views

If $J \subseteq M_n(R)$ is ideal, then $J = M_n(I)$ for some ideal $I \subseteq R$.

Published on 14 Apr 2026 - 3:40

score 857 · Answer 2 · 2026-04-16 05:57:37

857

Views

Relation between faithfully flatness and map of $Spec$

Published on 16 Apr 2026 - 5:57

score 3.1k · Answer 3 · 2026-04-11 11:20:15

3.1k

Views

Maximal ideal in the ring of polynomials over $\mathbb Z$

Published on 11 Apr 2026 - 11:20

score 549 · Answer 4 · 2026-04-23 15:02:20

549

Views

Computing a regular sequence of generators for an ideal

Published on 23 Apr 2026 - 15:02

score 554 · Answer 5 · 2026-04-14 02:20:03

554

Views

The prime elements of the ring $ \mathbb{Z} \! \left[ \dfrac{i \sqrt{3} - 1}{2} \right] $.

Published on 14 Apr 2026 - 2:20

score 808 · Answer 6 · 2026-04-12 08:52:00

808

Views

Why is the norm of an ideal contained in that ideal?

Published on 12 Apr 2026 - 8:52

score 39 · Answer 7 · 2026-04-13 09:02:38

39

Views

The group morphism of tye ring

Published on 13 Apr 2026 - 9:02

score 552 · Answer 8 · 2026-04-23 15:10:40

552

Views

Why is $ \mathrm{Frac} ( A / \mathfrak{p} ) = A_{\mathfrak{p}} / \mathfrak{p} A_{\mathfrak{p}} $?

Published on 23 Apr 2026 - 15:10

score 82 · Answer 9 · 2026-04-13 16:11:30

82

Views

Commutative ring can be homomorphically mapped onto field

Published on 13 Apr 2026 - 16:11

score 101 · Answer 10 · 2026-04-14 16:11:40

101

Views

Integral domain (rings and fields)

Published on 14 Apr 2026 - 16:11

score 810 · Answer 11 · 2026-04-12 23:23:42

810

Views

Studying $\operatorname{Spec}\mathbb{Z}[x]$, $\operatorname{Spec}\mathbb{R}[x]$, and $\operatorname{Spec}\mathbb{C}[x,y]$.

Published on 12 Apr 2026 - 23:23

score 268 · Answer 12 · 2026-04-23 15:08:06

268

Views

A local PID is a Euclidean domain

Published on 23 Apr 2026 - 15:08

score 450 · Answer 13 · 2026-04-23 20:00:30

450

Views

Morphism of rings and localization

Published on 23 Apr 2026 - 20:00

score 376 · Answer 14 · 2026-04-09 12:31:35

376

Views

General Technique for Finding all Ring Homomorphisms Between Two Rings

Published on 09 Apr 2026 - 12:31

score 285 · Answer 15 · 2026-04-16 09:56:56

285

Views

If $R/I$ satisfies Serre's condition $S_2$ then $R/(I,x)$ satisfies $S_1$

Published on 16 Apr 2026 - 9:56

List Question

If $J \subseteq M_n(R)$ is ideal, then $J = M_n(I)$ for some ideal $I \subseteq R$.

Relation between faithfully flatness and map of $Spec$

Maximal ideal in the ring of polynomials over $\mathbb Z$

Computing a regular sequence of generators for an ideal

The prime elements of the ring $ \mathbb{Z} \! \left[ \dfrac{i \sqrt{3} - 1}{2} \right] $.

Why is the norm of an ideal contained in that ideal?

The group morphism of tye ring

Why is $ \mathrm{Frac} ( A / \mathfrak{p} ) = A_{\mathfrak{p}} / \mathfrak{p} A_{\mathfrak{p}} $?

Commutative ring can be homomorphically mapped onto field

Integral domain (rings and fields)

Studying $\operatorname{Spec}\mathbb{Z}[x]$, $\operatorname{Spec}\mathbb{R}[x]$, and $\operatorname{Spec}\mathbb{C}[x,y]$.

A local PID is a Euclidean domain

Morphism of rings and localization

General Technique for Finding all Ring Homomorphisms Between Two Rings

If $R/I$ satisfies Serre's condition $S_2$ then $R/(I,x)$ satisfies $S_1$

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