Question

classify the plane projective curve $C\subset \mathbb{P}^2$ defined by $X^n+Y^n-Z^n$ with $n\in\mathbb{N}$.

score 53 · Answer 1 · 2026-03-29 11:20:05

53

Views

classify the plane projective curve $C\subset \mathbb{P}^2$ defined by $X^n+Y^n-Z^n$ with $n\in\mathbb{N}$.

Published on 29 Mar 2026 - 11:20

score 133 · Answer 2 · 2026-03-25 10:55:35

133

Views

A property of unique factorization domains

Published on 25 Mar 2026 - 10:55

score 219 · Answer 3 · 2026-04-07 04:45:10

219

Views

Proof Check: Idempotents of a local commutative ring

Published on 07 Apr 2026 - 4:45

score 350 · Answer 4 · 2026-03-27 19:31:46

350

Views

Error in Algebraic Curves by Fulton?

Published on 27 Mar 2026 - 19:31

score 82 · Answer 5 · 2026-04-04 05:19:07

82

Views

Why is $E \otimes_B B^n$ isomorphic to $E^n$ (for finite dimensional commutative $B$-algebras)?

Published on 04 Apr 2026 - 5:19

score 62 · Answer 6 · 2019-04-09 18:11:49

62

Views

Geometric meaning of the minimal positive integer $m$ s.t. ideals $I^m\subset J$

Published on 09 Apr 2019 - 18:11

score 250 · Answer 7 · 2026-04-07 04:48:59

250

Views

A ring has an idempotent if its quotient with nilradical has an idempotent.

Published on 07 Apr 2026 - 4:48

score 308 · Answer 8 · 2026-03-26 16:23:06

308

Views

Ideal with zero localizations at prime ideals containing it

Published on 26 Mar 2026 - 16:23

score 41 · Answer 9 · 2019-04-10 15:11:03

41

Views

What is the intuitive reason to expect maximality condition giving primeness of ideals in general?

Published on 10 Apr 2019 - 15:11

score 49 · Answer 10 · 2019-04-10 16:35:00

$M$ noetherian module over noetherian ring $A$, $I\subset A$ ideal. Then $\exists 0\neq m\in M, Im=0$ iff $\forall x\in I,\exists 0\neq m\in M,xm=0$

score 295 · Answer 11 · 2026-03-27 22:03:06

295

Views

Reduced ring with only finitely many minimal primes.

Published on 27 Mar 2026 - 22:03

score 171 · Answer 12 · 2026-03-25 06:24:31

171

Views

Hilbert Syzygy Theorem for non-graded modules

Published on 25 Mar 2026 - 6:24

score 1.2k · Answer 13 · 2026-04-02 03:53:35

1.2k

Views

Annihilator of a finitely generated torsion module is nonzero?

Published on 02 Apr 2026 - 3:53

score 386 · Answer 14 · 2026-03-26 13:01:51

386

Views

Localization of a ring vs. localization of a module

Published on 26 Mar 2026 - 13:01

score 89 · Answer 15 · 2019-04-15 03:43:25

89

Views

$\mathbb{F}_p$-algebras and the algebraic closure.

Published on 15 Apr 2019 - 3:43

List Question

classify the plane projective curve $C\subset \mathbb{P}^2$ defined by $X^n+Y^n-Z^n$ with $n\in\mathbb{N}$.

A property of unique factorization domains

Proof Check: Idempotents of a local commutative ring

Error in Algebraic Curves by Fulton?

Why is $E \otimes_B B^n$ isomorphic to $E^n$ (for finite dimensional commutative $B$-algebras)?

Geometric meaning of the minimal positive integer $m$ s.t. ideals $I^m\subset J$

A ring has an idempotent if its quotient with nilradical has an idempotent.

Ideal with zero localizations at prime ideals containing it

What is the intuitive reason to expect maximality condition giving primeness of ideals in general?

$M$ noetherian module over noetherian ring $A$, $I\subset A$ ideal. Then $\exists 0\neq m\in M, Im=0$ iff $\forall x\in I,\exists 0\neq m\in M,xm=0$

Reduced ring with only finitely many minimal primes.

Hilbert Syzygy Theorem for non-graded modules

Annihilator of a finitely generated torsion module is nonzero?

Localization of a ring vs. localization of a module

$\mathbb{F}_p$-algebras and the algebraic closure.

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