Question

Determine the cocycle condition in Galois descent induced by faithfully flat descent

score 452 · Answer 1 · 2026-04-04 05:25:05

452

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Determine the cocycle condition in Galois descent induced by faithfully flat descent

Published on 04 Apr 2026 - 5:25

score 273 · Answer 2 · 2026-03-27 04:00:00

273

Views

Show that the polynomial $Y^2+X^2(X-1)^2 \in \Bbb R[X,Y]$ is irreducible.

Published on 27 Mar 2026 - 4:00

score 185 · Answer 3 · 2026-04-01 14:22:39

185

Views

$\text{Tor}$ and $IJ=I\cap J$: Eisenbud exercice A3.17

Published on 01 Apr 2026 - 14:22

score 42 · Answer 4 · 2026-04-08 19:41:51

42

Views

Prove that there exist $x_j, y_j, z_j ∈ A$ such that $a^{50}x_j +b^{20}y_j +c^{15}z_j = 1$.

Published on 08 Apr 2026 - 19:41

score 88 · Answer 5 · 2026-04-08 16:13:06

88

Views

Module over restriction of scalars

Published on 08 Apr 2026 - 16:13

score 63 · Answer 6 · 2026-03-31 11:33:54

63

Views

$\mathfrak{q}$ is primary iff: given $a,b \in A$, $ab \in \mathfrak{q}$ and $a \not\in \mathfrak{q}$, then $b^n \in \mathfrak{q}$ for some $n \geq 1$

Published on 31 Mar 2026 - 11:33

score 150 · Answer 7 · 2019-06-12 22:09:29

150

Views

Atiyah-MacDonald Exercise 4.17. Maximality assumption?

Published on 12 Jun 2019 - 22:09

score 60 · Answer 8 · 2026-03-25 23:22:53

60

Views

Question on quotient presentations of affinoid/Tate algebras

Published on 25 Mar 2026 - 23:22

score 102 · Answer 9 · 2026-03-25 12:51:01

102

Views

What is the meaning of ``homogeneous part of highest degree in $f$" in Atiyah-MacDonald?

Published on 25 Mar 2026 - 12:51

score 194 · Answer 10 · 2026-03-25 15:42:25

194

Views

Converse of : If $M$ is Noetherian then $M_m$ is Noetherian for every $m\in\operatorname{Max}(R)$.

Published on 25 Mar 2026 - 15:42

score 221 · Answer 11 · 2026-04-02 21:39:29

221

Views

Do we have $a\otimes 1=0$ if and only if $a=0$?

Published on 02 Apr 2026 - 21:39

score 340 · Answer 12 · 2026-04-01 14:20:49

340

Views

Show that there exists a pullback square for modules.

Published on 01 Apr 2026 - 14:20

score 243 · Answer 13 · 2026-03-25 06:00:37

243

Views

Localization in a ring which is not an integral domain

Published on 25 Mar 2026 - 6:00

score 63 · Answer 14 · 2026-04-08 22:51:13

63

Views

Properties of localization of fractional ideals

Published on 08 Apr 2026 - 22:51

score 58 · Answer 15 · 2019-06-14 00:41:59

58

Views

Characterization of homogeneous polynomials over R

Published on 14 Jun 2019 - 0:41

List Question

Determine the cocycle condition in Galois descent induced by faithfully flat descent

Show that the polynomial $Y^2+X^2(X-1)^2 \in \Bbb R[X,Y]$ is irreducible.

$\text{Tor}$ and $IJ=I\cap J$: Eisenbud exercice A3.17

Prove that there exist $x_j, y_j, z_j ∈ A$ such that $a^{50}x_j +b^{20}y_j +c^{15}z_j = 1$.

Module over restriction of scalars

$\mathfrak{q}$ is primary iff: given $a,b \in A$, $ab \in \mathfrak{q}$ and $a \not\in \mathfrak{q}$, then $b^n \in \mathfrak{q}$ for some $n \geq 1$

Atiyah-MacDonald Exercise 4.17. Maximality assumption?

Question on quotient presentations of affinoid/Tate algebras

What is the meaning of ``homogeneous part of highest degree in $f$" in Atiyah-MacDonald?

Converse of : If $M$ is Noetherian then $M_m$ is Noetherian for every $m\in\operatorname{Max}(R)$.

Do we have $a\otimes 1=0$ if and only if $a=0$?

Show that there exists a pullback square for modules.

Localization in a ring which is not an integral domain

Properties of localization of fractional ideals

Characterization of homogeneous polynomials over R

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