Question

the localization of R at P is a regular local ring then R is regular local ring

score 352 · Answer 1 · 2026-05-03 23:48:55

352

Views

the localization of R at P is a regular local ring then R is regular local ring

Published on 03 May 2026 - 23:48

score 191 · Answer 2 · 2026-05-03 11:27:15

191

Views

How to prove that a ring is Regular?

Published on 03 May 2026 - 11:27

score 186 · Answer 3 · 2026-05-03 01:17:27

186

Views

When does an integral group ring have finite global dimension?

Published on 03 May 2026 - 1:17

score 47 · Answer 4 · 2026-05-05 13:18:05

47

Views

General method of finding dimension of a ring and determining regularity

Published on 05 May 2026 - 13:18

score 40 · Answer 5 · 2026-05-03 10:30:43

40

Views

Dimension of $(A[[X]])_\mathfrak{m} \geq k+1$, regular ring, chain of prime ideals

Published on 03 May 2026 - 10:30

score 41 · Answer 6 · 2026-05-05 15:17:19

41

Views

Invertible elements in the rings of regular functions of algebraic groups

Published on 05 May 2026 - 15:17

score 96 · Answer 7 · 2026-05-03 10:13:57

96

Views

Is the ring of regular functions of a simple complex connected linear algebraic group factorial?

Published on 03 May 2026 - 10:13

score 65 · Answer 8 · 2026-05-07 13:40:29

65

Views

Intuitive reason for why $\operatorname{Spec}(k[x,y,z]/(x-yz))$ is smooth at $O$ while $\operatorname{Spec}(k[x,y,z]/(x^2-yz))$ isn't?

Published on 07 May 2026 - 13:40

score 66 · Answer 9 · 2026-05-04 10:33:05

66

Views

When $R/I \cong S/J$, where $R$ is Cohen-Macaulay, $S$ is regular local and $ht(J)=\mu(J)$

Published on 04 May 2026 - 10:33

score 21 · Answer 10 · 2026-05-04 09:28:26

21

Views

Are injective maps of finite modules over regular ring liftable to termwise injective maps of finite projective resolution?

Published on 04 May 2026 - 9:28

score 107 · Answer 11 · 2026-05-04 10:25:57

107

Views

Let $(R,m)$ be * local and $R_m$ regular. Is R regular?

Published on 04 May 2026 - 10:25

score 225 · Answer 12 · 2026-05-04 12:58:00

225

Views

Regular rings with F-finite field of fractions

Published on 04 May 2026 - 12:58

score 214 · Answer 13 · 2026-05-04 12:55:39

214

Views

Examples of proper, non normal schemes

Published on 04 May 2026 - 12:55

score 55 · Answer 14 · 2026-05-03 11:51:08

55

Views

Do flat morphism of schemes induce injection on cotangents?

Published on 03 May 2026 - 11:51

score 394 · Answer 15 · 2026-05-03 11:33:58

394

Views

An example of Gorenstein ring which is not local regular.

Published on 03 May 2026 - 11:33

List Question

the localization of R at P is a regular local ring then R is regular local ring

How to prove that a ring is Regular?

When does an integral group ring have finite global dimension?

General method of finding dimension of a ring and determining regularity

Dimension of $(A[[X]])_\mathfrak{m} \geq k+1$, regular ring, chain of prime ideals

Invertible elements in the rings of regular functions of algebraic groups

Is the ring of regular functions of a simple complex connected linear algebraic group factorial?

Intuitive reason for why $\operatorname{Spec}(k[x,y,z]/(x-yz))$ is smooth at $O$ while $\operatorname{Spec}(k[x,y,z]/(x^2-yz))$ isn't?

When $R/I \cong S/J$, where $R$ is Cohen-Macaulay, $S$ is regular local and $ht(J)=\mu(J)$

Are injective maps of finite modules over regular ring liftable to termwise injective maps of finite projective resolution?

Let $(R,m)$ be * local and $R_m$ regular. Is R regular?

Regular rings with F-finite field of fractions

Examples of proper, non normal schemes

Do flat morphism of schemes induce injection on cotangents?

An example of Gorenstein ring which is not local regular.

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