Question

Sheaf of regular functions on an affine variety which is not irreducible

score 75 · Answer 1 · 2022-07-23 16:09:18

75

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Sheaf of regular functions on an affine variety which is not irreducible

Published on 23 Jul 2022 - 16:09

score 142 · Answer 2 · 2022-07-24 20:06:38

142

Views

Is the field of formal Laurent series flat over the ground ring?

Published on 24 Jul 2022 - 20:06

score 142 · Answer 3 · 2026-03-28 12:24:00

142

Views

Proving some properties of the localization functor in the stable homotopy category.

Published on 28 Mar 2026 - 12:24

score 62 · Answer 4 · 2026-03-28 01:06:35

62

Views

Let $A$ be a commutative ring. Let $N$ be a flat $A$-module. Let $S⊆A$ be a multiplicatively closed set. $S^{-1}N$ is flat $S^{-1}A$ module?

Published on 28 Mar 2026 - 1:06

score 76 · Answer 5 · 2026-03-26 09:49:42

76

Views

Proving the universal property for the localization functor $L_E$

Published on 26 Mar 2026 - 9:49

score 50 · Answer 6 · 2026-02-23 08:38:31

50

Views

Proving that $L_E W \to L_E X \to L_E Y$ is a cofiber sequence.

Published on 23 Feb 2026 - 8:38

score 61 · Answer 7 · 2026-03-29 16:34:37

61

Views

When is the maximal ideal of the localization principal?

Published on 29 Mar 2026 - 16:34

score 112 · Answer 8 · 2022-08-27 07:38:00

112

Views

Passage of Matsumura CRT 4.3

Published on 27 Aug 2022 - 7:38

score 53 · Answer 9 · 2026-03-25 13:55:19

53

Views

Formal completion of a scalar extension

Published on 25 Mar 2026 - 13:55

score 107 · Answer 10 · 2026-03-27 21:19:07

107

Views

Isomorphism in Exercise 2.17(d) of Eisenbud's Commutative Algebra

Published on 27 Mar 2026 - 21:19

score 80 · Answer 11 · 2026-03-29 18:19:59

80

Views

Why is a semilocal domain $A$ a UFD, if its localisations at maximal ideals $A_{\mathfrak m}$ are UFDs?

Published on 29 Mar 2026 - 18:19

score 124 · Answer 12 · 2026-03-27 16:27:49

124

Views

Is there a proof that uses (co)ends solely to establish the derived adjoint correspondence of e.g. deformable functors?

Published on 27 Mar 2026 - 16:27

score 37 · Answer 13 · 2026-03-28 09:33:42

37

Views

Is every distinguished open of tensor product of rings covered by tensor product of distinguished open?

Published on 28 Mar 2026 - 9:33

score 159 · Answer 14 · 2022-10-09 18:37:03

159

Views

Calculating the localization at a prime ideal of $\mathbb{Z}/p\mathbb{Z} \times \mathbb{Z}/q\mathbb{Z}$

Published on 09 Oct 2022 - 18:37

score 34 · Answer 15 · 2022-10-20 07:56:06

34

Views

Correspondence of heights in localization

Published on 20 Oct 2022 - 7:56

List Question

Sheaf of regular functions on an affine variety which is not irreducible

Is the field of formal Laurent series flat over the ground ring?

Proving some properties of the localization functor in the stable homotopy category.

Let $A$ be a commutative ring. Let $N$ be a flat $A$-module. Let $S⊆A$ be a multiplicatively closed set. $S^{-1}N$ is flat $S^{-1}A$ module?

Proving the universal property for the localization functor $L_E$

Proving that $L_E W \to L_E X \to L_E Y$ is a cofiber sequence.

When is the maximal ideal of the localization principal?

Passage of Matsumura CRT 4.3

Formal completion of a scalar extension

Isomorphism in Exercise 2.17(d) of Eisenbud's Commutative Algebra

Why is a semilocal domain $A$ a UFD, if its localisations at maximal ideals $A_{\mathfrak m}$ are UFDs?

Is there a proof that uses (co)ends solely to establish the derived adjoint correspondence of e.g. deformable functors?

Is every distinguished open of tensor product of rings covered by tensor product of distinguished open?

Calculating the localization at a prime ideal of $\mathbb{Z}/p\mathbb{Z} \times \mathbb{Z}/q\mathbb{Z}$

Correspondence of heights in localization

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