Question

Descending sequence for module with finite length

score 31 · Answer 1 · 2020-06-06 18:46:43

31

Views

Descending sequence for module with finite length

Published on 06 Jun 2020 - 18:46

score 114 · Answer 2 · 2020-06-07 05:50:05

114

Views

Is $\mathbb{Q} [X,Y]/[x^{20},y^{20}]$ a local ring?

Published on 07 Jun 2020 - 5:50

score 143 · Answer 3 · 2026-03-25 09:23:21

143

Views

local versus graded free resolutions

Published on 25 Mar 2026 - 9:23

score 635 · Answer 4 · 2020-06-09 12:10:35

635

Views

Finite dimensional local rings with infinitely many minimal prime ideals

Published on 09 Jun 2020 - 12:10

score 330 · Answer 5 · 2026-03-25 04:36:27

330

Views

Completion of a polynomial ring over a complete ring

Published on 25 Mar 2026 - 4:36

score 78 · Answer 6 · 2020-06-28 21:12:04

78

Views

If Quotient ring is complete local is the ring complete local?

Published on 28 Jun 2020 - 21:12

score 195 · Answer 7 · 2020-07-06 15:49:27

195

Views

Not-necessarily-unital von Neumann regular local commutative rings: are they fields?

Published on 06 Jul 2020 - 15:49

score 92 · Answer 8 · 2020-07-07 12:48:45

92

Views

If a finite sum is a unit, then it has a term that is a unit.

Published on 07 Jul 2020 - 12:48

score 337 · Answer 9 · 2020-07-10 17:58:02

337

Views

Example of non-local homomorphism on local rings

Published on 10 Jul 2020 - 17:58

score 395 · Answer 10 · 2020-07-18 20:01:31

395

Views

Example of a ring with a unique two sided maximal ideal which is not a local ring (that is it has more than one left or right maximal ideals).

Published on 18 Jul 2020 - 20:01

score 51 · Answer 11 · 2020-07-19 04:25:46

51

Views

Using Correspondence Theorem for Rings

Published on 19 Jul 2020 - 4:25

score 117 · Answer 12 · 2020-07-21 10:11:54

117

Views

$X_i \equiv a_i \pmod{P}$ for some $a_i \in \mathcal{O}$ given a prime ideal $P$ of $\mathcal{O}[X_1, \ldots, X_n]/(f_1, ..., f_n)$

Published on 21 Jul 2020 - 10:11

score 70 · Answer 13 · 2020-07-29 09:43:05

70

Views

How to define a morphism from the Spec of the completion of $O_{Y,y}$ to $Y$?

Published on 29 Jul 2020 - 9:43

score 312 · Answer 14 · 2016-07-06 04:28:50

312

Views

Confused about how to work with local rings for an arbitrary variety

Published on 06 Jul 2016 - 4:28

score 392 · Answer 15 · 2016-07-10 14:07:43

392

Views

In a local ring, the maximal ideal $\mathfrak{m}$ is principal $\implies \dim_k(\mathfrak{m}/\mathfrak{m}^2)\leq 1$

Published on 10 Jul 2016 - 14:07

List Question

Descending sequence for module with finite length

Is $\mathbb{Q} [X,Y]/[x^{20},y^{20}]$ a local ring?

local versus graded free resolutions

Finite dimensional local rings with infinitely many minimal prime ideals

Completion of a polynomial ring over a complete ring

If Quotient ring is complete local is the ring complete local?

Not-necessarily-unital von Neumann regular local commutative rings: are they fields?

If a finite sum is a unit, then it has a term that is a unit.

Example of non-local homomorphism on local rings

Example of a ring with a unique two sided maximal ideal which is not a local ring (that is it has more than one left or right maximal ideals).

Using Correspondence Theorem for Rings

$X_i \equiv a_i \pmod{P}$ for some $a_i \in \mathcal{O}$ given a prime ideal $P$ of $\mathcal{O}[X_1, \ldots, X_n]/(f_1, ..., f_n)$

How to define a morphism from the Spec of the completion of $O_{Y,y}$ to $Y$?

Confused about how to work with local rings for an arbitrary variety

In a local ring, the maximal ideal $\mathfrak{m}$ is principal $\implies \dim_k(\mathfrak{m}/\mathfrak{m}^2)\leq 1$

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