Question

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

score 350 · Answer 1 · 2017-01-09 07:43:57

350

Views

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

Published on 09 Jan 2017 - 7:43

score 187 · Answer 2 · 2017-01-25 21:24:58

187

Views

How to prove that a ring is Regular?

Published on 25 Jan 2017 - 21:24

score 178 · Answer 3 · 2026-03-25 02:59:17

178

Views

When does an integral group ring have finite global dimension?

Published on 25 Mar 2026 - 2:59

score 45 · Answer 4 · 2023-02-13 00:51:51

45

Views

General method of finding dimension of a ring and determining regularity

Published on 13 Feb 2023 - 0:51

score 38 · Answer 5 · 2023-02-21 13:16:59

38

Views

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

Published on 21 Feb 2023 - 13:16

score 39 · Answer 6 · 2023-03-08 06:28:37

39

Views

Invertible elements in the rings of regular functions of algebraic groups

Published on 08 Mar 2023 - 6:28

score 94 · Answer 7 · 2023-03-09 16:56:22

94

Views

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

Published on 09 Mar 2023 - 16:56

score 63 · Answer 8 · 2023-04-12 07:55:25

63

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 12 Apr 2023 - 7:55

score 64 · Answer 9 · 2023-05-30 05:35:41

64

Views

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

Published on 30 May 2023 - 5:35

score 19 · Answer 10 · 2023-11-16 17:48:58

19

Views

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

Published on 16 Nov 2023 - 17:48

score 104 · Answer 11 · 2014-03-11 11:19:07

104

Views

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

Published on 11 Mar 2014 - 11:19

score 223 · Answer 12 · 2017-04-16 12:25:24

223

Views

Regular rings with F-finite field of fractions

Published on 16 Apr 2017 - 12:25

score 210 · Answer 13 · 2026-02-23 13:06:24

210

Views

Examples of proper, non normal schemes

Published on 23 Feb 2026 - 13:06

score 53 · Answer 14 · 2017-05-21 09:55:57

53

Views

Do flat morphism of schemes induce injection on cotangents?

Published on 21 May 2017 - 9:55

score 392 · Answer 15 · 2017-05-23 20:12:00

392

Views

An example of Gorenstein ring which is not local regular.

Published on 23 May 2017 - 20:12

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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