Question

Ideal of $\mathbb{Z}[\sqrt{10}]$: principal, prime or maximal?

score 1.6k · Answer 1 · 2026-03-31 19:14:55

1.6k

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Ideal of $\mathbb{Z}[\sqrt{10}]$: principal, prime or maximal?

Published on 31 Mar 2026 - 19:14

score 594 · Answer 2 · 2016-11-30 22:02:13

594

Views

Prove that $A$ is an ideal of $\Bbb R[x]$ and $A = \langle x\rangle$

Published on 30 Nov 2016 - 22:02

score 125 · Answer 3 · 2016-11-30 22:11:16

125

Views

Comaximality of ideals

Published on 30 Nov 2016 - 22:11

score 2k · Answer 4 · 2026-03-31 07:49:43

2k

Views

How do algebraists intuitively picture normal subgroups and ideals?

Published on 31 Mar 2026 - 7:49

score 196 · Answer 5 · 2026-03-25 13:57:04

196

Views

If we remove an element from a Gröbner basis $G$, is the new set $\overline G$ still a Gröbner basis of the new ideal generated by $\overline G$?

Published on 25 Mar 2026 - 13:57

score 225 · Answer 6 · 2026-03-28 10:27:16

225

Views

Why $\mathbb Z[X]/I ≃ Z_5[X]/(X + \overline 2)$ and one more

Published on 28 Mar 2026 - 10:27

score 373 · Answer 7 · 2016-12-03 23:14:17

373

Views

Commutative Ring with only one proper ideal

Published on 03 Dec 2016 - 23:14

score 207 · Answer 8 · 2016-12-04 15:22:41

207

Views

Infinite family of left ideals $J$ in a matrix ring $R$ and their direct sum.

Published on 04 Dec 2016 - 15:22

score 127 · Answer 9 · 2016-12-04 20:06:33

127

Views

Is $\{f \in \mathbb{R}[x,y] \mid f(1,0) = f(0,1) = 0\}$ a prime ideal?

Published on 04 Dec 2016 - 20:06

score 354 · Answer 10 · 2026-03-25 13:55:30

354

Views

How to prove that a reduced Gröbner basis for $I\subset K(\mathbf t)[\mathbf x]$ is still a Gröbner basis under $\mathbf t\mapsto\mathbf a$?

Published on 25 Mar 2026 - 13:55

score 49 · Answer 11 · 2026-03-30 02:58:52

49

Views

Making an Idempotent Right Ideal

Published on 30 Mar 2026 - 2:58

score 368 · Answer 12 · 2026-03-25 13:59:03

368

Views

Is all Euclidean domain local?

Published on 25 Mar 2026 - 13:59

score 72 · Answer 13 · 2026-03-25 22:03:29

72

Views

order of $Z[i]/\langle 2+4i\rangle$

Published on 25 Mar 2026 - 22:03

score 540 · Answer 14 · 2016-12-06 17:52:11

540

Views

How to approach construction of ring homomorphisms?

Published on 06 Dec 2016 - 17:52

score 1.6k · Answer 15 · 2026-03-31 07:56:50

1.6k

Views

What Exactly Are Quotient/Factor Groups and Rings?

Published on 31 Mar 2026 - 7:56

List Question

Ideal of $\mathbb{Z}[\sqrt{10}]$: principal, prime or maximal?

Prove that $A$ is an ideal of $\Bbb R[x]$ and $A = \langle x\rangle$

Comaximality of ideals

How do algebraists intuitively picture normal subgroups and ideals?

If we remove an element from a Gröbner basis $G$, is the new set $\overline G$ still a Gröbner basis of the new ideal generated by $\overline G$?

Why $\mathbb Z[X]/I ≃ Z_5[X]/(X + \overline 2)$ and one more

Commutative Ring with only one proper ideal

Infinite family of left ideals $J$ in a matrix ring $R$ and their direct sum.

Is $\{f \in \mathbb{R}[x,y] \mid f(1,0) = f(0,1) = 0\}$ a prime ideal?

How to prove that a reduced Gröbner basis for $I\subset K(\mathbf t)[\mathbf x]$ is still a Gröbner basis under $\mathbf t\mapsto\mathbf a$?

Making an Idempotent Right Ideal

Is all Euclidean domain local?

order of $Z[i]/\langle 2+4i\rangle$

How to approach construction of ring homomorphisms?

What Exactly Are Quotient/Factor Groups and Rings?

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