Question

Possible mistake in Atiyah-MacDonald (Radicals of arbitrary subsets)

score 88 · Answer 1 · 2018-02-24 23:26:01

88

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Possible mistake in Atiyah-MacDonald (Radicals of arbitrary subsets)

Published on 24 Feb 2018 - 23:26

score 21 · Answer 2 · 2018-02-24 23:38:58

21

Views

Is $\mathrm{Hom}(E(R/P),E(R/Q))=0$ for distinct maximal ideals $P,Q$ if $R$ is commutative but not Noetherian?

Published on 24 Feb 2018 - 23:38

score 50 · Answer 3 · 2026-03-26 09:40:29

50

Views

A question about an ideal in power series ring

Published on 26 Mar 2026 - 9:40

score 362 · Answer 4 · 2026-03-26 09:38:15

362

Views

Minimal ideals in a reduced ring

Published on 26 Mar 2026 - 9:38

score 437 · Answer 5 · 2026-03-25 07:29:13

437

Views

Commutative Noetherian prime ideals finitely generated

Published on 25 Mar 2026 - 7:29

score 202 · Answer 6 · 2026-03-27 02:12:52

202

Views

Matrix factorization hypersurface ring

Published on 27 Mar 2026 - 2:12

score 67 · Answer 7 · 2018-02-26 16:26:18

67

Views

some elementary sources about distributive lattices, modular lattices, planar lattices, Hibi rings and Grobner basis

Published on 26 Feb 2018 - 16:26

score 172 · Answer 8 · 2026-03-25 01:33:02

172

Views

Are $\mathbb C$ , $\mathbb C[X]$ definable in $\mathbb C[[X]]$?

Published on 25 Mar 2026 - 1:33

score 135 · Answer 9 · 2026-03-23 08:11:36

135

Views

Proof that $A/\mathfrak{p}^n \simeq A_\mathfrak{p}/\mathfrak{p}^nA_\mathfrak{p}$, for all $n$ in a Dedekind domain $A$.

Published on 23 Mar 2026 - 8:11

score 43 · Answer 10 · 2026-03-28 05:28:40

43

Views

Discrete valuation ring contains the finite ground field

Published on 28 Mar 2026 - 5:28

score 105 · Answer 11 · 2026-03-25 15:43:42

105

Views

Given finite subset of $\mathbb C[[X]]$, does there exist a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C[X]$ set wise?

Published on 25 Mar 2026 - 15:43

score 1.2k · Answer 12 · 2026-03-28 05:23:29

1.2k

Views

Tensor product of quotient rings of polynomial rings

Published on 28 Mar 2026 - 5:23

score 102 · Answer 13 · 2026-03-25 15:42:26

102

Views

Given finite subset of $\mathbb C[[X]]$, is there a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C$ set wise?

Published on 25 Mar 2026 - 15:42

score 321 · Answer 14 · 2026-03-23 06:53:53

321

Views

Dimension of certain type of finitely generated $k$-algebra

Published on 23 Mar 2026 - 6:53

score 518 · Answer 15 · 2026-03-28 08:51:25

518

Views

Is $k[x,y]/(y^2)$ Noetherian or Artinian as a $k$-vector space? As a $k[x]$-module?

Published on 28 Mar 2026 - 8:51

List Question

Possible mistake in Atiyah-MacDonald (Radicals of arbitrary subsets)

Is $\mathrm{Hom}(E(R/P),E(R/Q))=0$ for distinct maximal ideals $P,Q$ if $R$ is commutative but not Noetherian?

A question about an ideal in power series ring

Minimal ideals in a reduced ring

Commutative Noetherian prime ideals finitely generated

Matrix factorization hypersurface ring

some elementary sources about distributive lattices, modular lattices, planar lattices, Hibi rings and Grobner basis

Are $\mathbb C$ , $\mathbb C[X]$ definable in $\mathbb C[[X]]$?

Proof that $A/\mathfrak{p}^n \simeq A_\mathfrak{p}/\mathfrak{p}^nA_\mathfrak{p}$, for all $n$ in a Dedekind domain $A$.

Discrete valuation ring contains the finite ground field

Given finite subset of $\mathbb C[[X]]$, does there exist a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C[X]$ set wise?

Tensor product of quotient rings of polynomial rings

Given finite subset of $\mathbb C[[X]]$, is there a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C$ set wise?

Dimension of certain type of finitely generated $k$-algebra

Is $k[x,y]/(y^2)$ Noetherian or Artinian as a $k$-vector space? As a $k[x]$-module?

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