Question

Show that a ring is a Dedekind domain

score 412 · Answer 1 · 2026-03-25 06:10:41

412

Views

Show that a ring is a Dedekind domain

Published on 25 Mar 2026 - 6:10

score 36 · Answer 2 · 2026-03-28 02:49:00

36

Views

$dim(R / fR) = dim(R) -1$ if $f$ Regular

Published on 28 Mar 2026 - 2:49

score 114 · Answer 3 · 2018-04-16 11:15:49

114

Views

$\hat{N}$ is the closure of $\phi(N)$ in $\hat{M}$, where $\phi :M\rightarrow \hat{M}$

Published on 16 Apr 2018 - 11:15

score 320 · Answer 4 · 2018-04-16 13:22:25

320

Views

dimension of ideal of polynomials

Published on 16 Apr 2018 - 13:22

score 62 · Answer 5 · 2026-03-28 02:42:53

62

Views

Proving that maximally non-finitely generated ideals of a commutative ring are prime.

Published on 28 Mar 2026 - 2:42

score 276 · Answer 6 · 2026-03-25 18:16:41

276

Views

Under Zariski topology , $ \operatorname{Spec} k[X,Y] \cong \operatorname{Spec} k[X] \times \operatorname{Spec}k[Y]$?

Published on 25 Mar 2026 - 18:16

score 224 · Answer 7 · 2026-03-24 23:46:37

224

Views

Why is $\operatorname{Hom}( \mu_p, \alpha_p)$ trivial?

Published on 24 Mar 2026 - 23:46

score 237 · Answer 8 · 2026-03-27 21:59:33

237

Views

"Totally disconnected" analogue of a classical result from functional analysis

Published on 27 Mar 2026 - 21:59

score 82 · Answer 9 · 2018-04-18 01:19:20

82

Views

Spectrum of $R \otimes_{\mathbb Q} R$, where $R$ is a zero dimensional ring

Published on 18 Apr 2018 - 1:19

score 376 · Answer 10 · 2026-03-23 05:40:49

376

Views

Every profinite group is naturally an affine group scheme over $\mathbb Q$?

Published on 23 Mar 2026 - 5:40

score 65 · Answer 11 · 2018-04-18 02:51:37

65

Views

Classify left cyclic modules of a countable Noetherian ring

Published on 18 Apr 2018 - 2:51

score 36 · Answer 12 · 2018-04-18 09:17:11

36

Views

Problem Related to an Earlier Question

Published on 18 Apr 2018 - 9:17

score 433 · Answer 13 · 2018-04-18 15:20:26

433

Views

Completion of Noetherian ring $A$ by $I=(a_1,\ldots,a_n)$ is isomorphic to $A[[x_1,\ldots,x_n]]/(x_1-a_1,\ldots,x_n-a_n)$

Published on 18 Apr 2018 - 15:20

score 107 · Answer 14 · 2018-04-18 18:34:07

107

Views

injective hull of $k[x_1,...,x_n]/m$ where $m=(x_1,...,x_n)$

Published on 18 Apr 2018 - 18:34

score 70 · Answer 15 · 2026-03-25 22:11:24

70

Views

More aesthetically pleasing proof of lifting.

Published on 25 Mar 2026 - 22:11

List Question

Show that a ring is a Dedekind domain

$dim(R / fR) = dim(R) -1$ if $f$ Regular

$\hat{N}$ is the closure of $\phi(N)$ in $\hat{M}$, where $\phi :M\rightarrow \hat{M}$

dimension of ideal of polynomials

Proving that maximally non-finitely generated ideals of a commutative ring are prime.

Under Zariski topology , $ \operatorname{Spec} k[X,Y] \cong \operatorname{Spec} k[X] \times \operatorname{Spec}k[Y]$?

Why is $\operatorname{Hom}( \mu_p, \alpha_p)$ trivial?

"Totally disconnected" analogue of a classical result from functional analysis

Spectrum of $R \otimes_{\mathbb Q} R$, where $R$ is a zero dimensional ring

Every profinite group is naturally an affine group scheme over $\mathbb Q$?

Classify left cyclic modules of a countable Noetherian ring

Problem Related to an Earlier Question

Completion of Noetherian ring $A$ by $I=(a_1,\ldots,a_n)$ is isomorphic to $A[[x_1,\ldots,x_n]]/(x_1-a_1,\ldots,x_n-a_n)$

injective hull of $k[x_1,...,x_n]/m$ where $m=(x_1,...,x_n)$

More aesthetically pleasing proof of lifting.

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