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Question about maximal ideals in a commutative Artinian ring

score 190 · Answer 1 · 2016-08-23 19:46:58

190

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Question about maximal ideals in a commutative Artinian ring

Published on 23 Aug 2016 - 19:46

score 390 · Answer 2 · 2016-08-25 05:39:39

390

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Number of generators of an ideal of the polynomial ring over a field

Published on 25 Aug 2016 - 5:39

score 305 · Answer 3 · 2016-08-26 02:00:52

305

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No maximal ideal of $k[x_1, \dots, x_n]$ is principal for $n > 1$ ($k$ any field)

Published on 26 Aug 2016 - 2:00

score 295 · Answer 4 · 2026-03-26 11:00:01

295

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$D$ be a UFD having infinitely many maximal ideals , then does $D$ have infinitely many irreducible elements which are pairwise non-associate?

Published on 26 Mar 2026 - 11:00

score 218 · Answer 5 · 2026-03-26 12:37:31

218

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Let $R$ be an integral domain which is not a field. Then can $R[x]$ have a maximal ideal generated by a non-constant polynomial?

Published on 26 Mar 2026 - 12:37

score 128 · Answer 6 · 2016-08-29 18:37:15

128

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Radical of an ideal in the ring $\mathbb{Z^{\mathbb{N}}}$

Published on 29 Aug 2016 - 18:37

score 368 · Answer 7 · 2016-08-31 17:23:53

368

Views

Taking vanishing ideals of $\mathbb{C}^2$ in $\mathbb{Q}[x,y]$ is surjective to $\operatorname{Spec}\mathbb{Q}[x,y]$

Published on 31 Aug 2016 - 17:23

score 324 · Answer 8 · 2026-03-25 06:19:23

324

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Primes, integers and fundamental units in cubic fields.

Published on 25 Mar 2026 - 6:19

score 233 · Answer 9 · 2026-03-29 02:46:31

233

Views

Maximal ideals of $B[y]$ where $B$ is PID.

Published on 29 Mar 2026 - 2:46

score 690 · Answer 10 · 2026-03-25 13:59:44

690

Views

Krull Dimension of a quotient by a single element

Published on 25 Mar 2026 - 13:59

score 799 · Answer 11 · 2016-09-10 17:33:16

799

Views

Maximal ideals over non-field polynomial ring

Published on 10 Sep 2016 - 17:33

score 90 · Answer 12 · 2016-09-12 06:50:05

90

Views

Multiplication in a quotient ring of the Gaussian integers

Published on 12 Sep 2016 - 6:50

score 1.9k · Answer 13 · 2026-03-29 21:36:36

1.9k

Views

Prove $R/M$ is a division ring for a non-commutative ring $R$ with max ideal $M$

Published on 29 Mar 2026 - 21:36

score 990 · Answer 14 · 2016-09-15 12:51:00

990

Views

Prime ideal is a contraction of some prime ideal iff $p^{ec} =p$

Published on 15 Sep 2016 - 12:51

score 79 · Answer 15 · 2026-03-25 13:59:13

79

Views

A particular euclidean function implies the domain is local?

Published on 25 Mar 2026 - 13:59

List Question

Question about maximal ideals in a commutative Artinian ring

Number of generators of an ideal of the polynomial ring over a field

No maximal ideal of $k[x_1, \dots, x_n]$ is principal for $n > 1$ ($k$ any field)

$D$ be a UFD having infinitely many maximal ideals , then does $D$ have infinitely many irreducible elements which are pairwise non-associate?

Let $R$ be an integral domain which is not a field. Then can $R[x]$ have a maximal ideal generated by a non-constant polynomial?

Radical of an ideal in the ring $\mathbb{Z^{\mathbb{N}}}$

Taking vanishing ideals of $\mathbb{C}^2$ in $\mathbb{Q}[x,y]$ is surjective to $\operatorname{Spec}\mathbb{Q}[x,y]$

Primes, integers and fundamental units in cubic fields.

Maximal ideals of $B[y]$ where $B$ is PID.

Krull Dimension of a quotient by a single element

Maximal ideals over non-field polynomial ring

Multiplication in a quotient ring of the Gaussian integers

Prove $R/M$ is a division ring for a non-commutative ring $R$ with max ideal $M$

Prime ideal is a contraction of some prime ideal iff $p^{ec} =p$

A particular euclidean function implies the domain is local?

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