Question

$B \subseteq A$ be an integral extension of integral domains where $B$ is normal; if $P \in Spec A$ and $Q=P\cap B$, then $\dim A_P=\dim B_Q$?

score 450 · Answer 1 · 2026-05-02 09:40:17

450

Views

$B \subseteq A$ be an integral extension of integral domains where $B$ is normal; if $P \in Spec A$ and $Q=P\cap B$, then $\dim A_P=\dim B_Q$?

Published on 02 May 2026 - 9:40

score 286 · Answer 2 · 2026-04-14 01:58:53

286

Views

Simple commutative algebra localisation problem that I just can't seem to see

Published on 14 Apr 2026 - 1:58

score 100 · Answer 3 · 2026-05-01 07:00:37

100

Views

ADMM Heuristic or rather stick to Branch and Bound?

Published on 01 May 2026 - 7:00

score 612 · Answer 4 · 2026-04-30 13:07:14

612

Views

Localization and flatness

Published on 30 Apr 2026 - 13:07

score 77 · Answer 5 · 2026-04-16 09:01:36

77

Views

Local homomorphisms on a fibered surface

Published on 16 Apr 2026 - 9:01

score 191 · Answer 6 · 2026-05-10 13:48:15

191

Views

Example for being an integral domain is not a local property.

Published on 10 May 2026 - 13:48

score 73 · Answer 7 · 2026-04-16 12:54:51

73

Views

Example of a ring $R$ and a prime $0\neq P\unlhd R$ such that $R_P$ is a field?

Published on 16 Apr 2026 - 12:54

score 447 · Answer 8 · 2026-04-17 01:39:05

447

Views

Subrings of localizations

Published on 17 Apr 2026 - 1:39

score 325 · Answer 9 · 2026-04-13 17:41:49

325

Views

Ring with finitely many maximal ideals whose localizations are Noetherian injects into $\bigoplus_{\mathfrak{m}}R_{\mathfrak{m}}$

Published on 13 Apr 2026 - 17:41

score 404 · Answer 10 · 2026-05-10 13:50:31

404

Views

Definition of “degree zero” in the localization of a graded ring

Published on 10 May 2026 - 13:50

score 350 · Answer 11 · 2026-04-10 19:21:26

350

Views

Can a non-PID noetherian integral domain have all PID localizations?

Published on 10 Apr 2026 - 19:21

score 59 · Answer 12 · 2026-05-10 14:06:47

59

Views

Discrete valuation arising from localizations of $R[[t]]$

Published on 10 May 2026 - 14:06

score 80 · Answer 13 · 2026-04-17 10:29:42

80

Views

Show that $S^{-1}A = B$ for integral domains and $S = \{x\in A\setminus\{0\}: x^{-1}\in B\}$

Published on 17 Apr 2026 - 10:29

score 420 · Answer 14 · 2026-04-11 12:41:39

420

Views

Inclusion of Reflective Subcategory Creates Limits

Published on 11 Apr 2026 - 12:41

score 79 · Answer 15 · 2026-04-16 03:14:49

79

Views

Show that $z - xy$ is in the ideal $I = \langle 2x-1, 3y-1, 6z-1 \rangle$ in $\mathbb{Z}[x,y,z]$

Published on 16 Apr 2026 - 3:14

List Question

$B \subseteq A$ be an integral extension of integral domains where $B$ is normal; if $P \in Spec A$ and $Q=P\cap B$, then $\dim A_P=\dim B_Q$?

Simple commutative algebra localisation problem that I just can't seem to see

ADMM Heuristic or rather stick to Branch and Bound?

Localization and flatness

Local homomorphisms on a fibered surface

Example for being an integral domain is not a local property.

Example of a ring $R$ and a prime $0\neq P\unlhd R$ such that $R_P$ is a field?

Subrings of localizations

Ring with finitely many maximal ideals whose localizations are Noetherian injects into $\bigoplus_{\mathfrak{m}}R_{\mathfrak{m}}$

Definition of “degree zero” in the localization of a graded ring

Can a non-PID noetherian integral domain have all PID localizations?

Discrete valuation arising from localizations of $R[[t]]$

Show that $S^{-1}A = B$ for integral domains and $S = \{x\in A\setminus\{0\}: x^{-1}\in B\}$

Inclusion of Reflective Subcategory Creates Limits

Show that $z - xy$ is in the ideal $I = \langle 2x-1, 3y-1, 6z-1 \rangle$ in $\mathbb{Z}[x,y,z]$

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