Question

Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage

score 2.8k · Answer 1 · 2017-09-22 05:52:14

2.8k

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Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage

Published on 22 Sep 2017 - 5:52

score 196 · Answer 2 · 2017-09-23 09:28:35

196

Views

Two fractions in $R[\frac{1}{x}]$ are equal iff $(\exists n\ge 0)(x^n\cdot ax^i=x^n\cdot bx^j)$

Published on 23 Sep 2017 - 9:28

score 811 · Answer 3 · 2017-09-23 10:26:26

811

Views

Unsure about the proof that a module is finitely generated if its localizations are finitely generated

Published on 23 Sep 2017 - 10:26

score 271 · Answer 4 · 2017-09-29 16:05:43

271

Views

Does sheafification functor preserve injectives?

Published on 29 Sep 2017 - 16:05

score 20 · Answer 5 · 2017-10-01 19:02:43

20

Views

How can $A/P^c$ be viewed as a subring of $B/P$?

Published on 01 Oct 2017 - 19:02

score 448 · Answer 6 · 2017-10-02 15:41:43

448

Views

Degree zero in the localization. Does it need to be homogeneous

Published on 02 Oct 2017 - 15:41

score 175 · Answer 7 · 2026-03-25 21:48:42

175

Views

Homogeneous prime ideals of two isomorphic rings

Published on 25 Mar 2026 - 21:48

score 47 · Answer 8 · 2026-03-26 21:25:22

47

Views

Show $S_P=R_p$.

Published on 26 Mar 2026 - 21:25

score 275 · Answer 9 · 2017-10-15 01:03:26

275

Views

$S^{-1}R=0$ iff $0$ belongs to $S$.

Published on 15 Oct 2017 - 1:03

score 266 · Answer 10 · 2026-03-27 18:10:38

266

Views

Localization of $A$ at the multiplicative set of of all functions that do not vanish outside of $V(f)$ --- Vakil's 4.1.1

Published on 27 Mar 2026 - 18:10

score 189 · Answer 11 · 2026-03-26 21:35:27

189

Views

Uniqueness for torsion modules over Dedekind domain

Published on 26 Mar 2026 - 21:35

score 449 · Answer 12 · 2026-03-26 14:35:10

449

Views

Showing that the localization of the kernel of a morphism of rings (modules) vanishes

Published on 26 Mar 2026 - 14:35

score 143 · Answer 13 · 2026-03-28 21:06:55

143

Views

Localization of module of noetherian ring is f.g. but module isn't f.g.

Published on 28 Mar 2026 - 21:06

score 121 · Answer 14 · 2017-11-12 18:45:12

121

Views

Localization of polynomial rings over Prufer domains

Published on 12 Nov 2017 - 18:45

score 140 · Answer 15 · 2017-11-15 00:29:55

140

Views

For a localization of a ring $S^{-1}R,$ the extension of a prime ideal $P^e$ has no units if $P \cap S = \emptyset.$

Published on 15 Nov 2017 - 0:29

List Question

Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage

Two fractions in $R[\frac{1}{x}]$ are equal iff $(\exists n\ge 0)(x^n\cdot ax^i=x^n\cdot bx^j)$

Unsure about the proof that a module is finitely generated if its localizations are finitely generated

Does sheafification functor preserve injectives?

How can $A/P^c$ be viewed as a subring of $B/P$?

Degree zero in the localization. Does it need to be homogeneous

Homogeneous prime ideals of two isomorphic rings

Show $S_P=R_p$.

$S^{-1}R=0$ iff $0$ belongs to $S$.

Localization of $A$ at the multiplicative set of of all functions that do not vanish outside of $V(f)$ --- Vakil's 4.1.1

Uniqueness for torsion modules over Dedekind domain

Showing that the localization of the kernel of a morphism of rings (modules) vanishes

Localization of module of noetherian ring is f.g. but module isn't f.g.

Localization of polynomial rings over Prufer domains

For a localization of a ring $S^{-1}R,$ the extension of a prime ideal $P^e$ has no units if $P \cap S = \emptyset.$

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