Question

On the subring $k + Y k [X,Y]$ of the polynomial ring $k[X,Y]$

score 98 · Answer 1 · 2026-02-23 02:31:29

98

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On the subring $k + Y k [X,Y]$ of the polynomial ring $k[X,Y]$

Published on 23 Feb 2026 - 2:31

score 402 · Answer 2 · 2026-03-25 23:10:12

402

Views

Krull dimension of $\mathbb{R}[x_1, \ldots, x_n]/(F)$?

Published on 25 Mar 2026 - 23:10

score 290 · Answer 3 · 2026-03-25 06:05:27

290

Views

Why Krull dimension of zero ring defined to be negative or it is just a convention?

Published on 25 Mar 2026 - 6:05

score 147 · Answer 4 · 2018-08-03 10:53:46

147

Views

Two affine varieties are equal if they are intersected by an open set, this implies equal dimension?

Published on 03 Aug 2018 - 10:53

score 110 · Answer 5 · 2026-03-26 19:22:31

110

Views

Krull Dimension and sup

Published on 26 Mar 2026 - 19:22

score 59 · Answer 6 · 2026-03-25 21:31:13

59

Views

How to define $\operatorname{dim}(\{0\})$ and $\operatorname{ht}(A)$?

Published on 25 Mar 2026 - 21:31

score 195 · Answer 7 · 2018-08-31 00:32:46

195

Views

Reference on dimension theory (commutative algebra)

Published on 31 Aug 2018 - 0:32

score 63 · Answer 8 · 2018-09-01 10:21:44

63

Views

computing more dimensions of rings $\mathbb{C}[[x,y,z]]/(f(x,y))$

Published on 01 Sep 2018 - 10:21

score 88 · Answer 9 · 2026-03-27 00:24:16

88

Views

Descending chain of algebras

Published on 27 Mar 2026 - 0:24

score 81 · Answer 10 · 2018-09-13 12:05:58

81

Views

Determine $\dim k[x,y,z]/(f)$ with help Krull's Principal Ideal Theorem

Published on 13 Sep 2018 - 12:05

score 111 · Answer 11 · 2018-09-13 14:46:20

111

Views

(Dimension theory)How can I derive this corollary from Theorem 5.4.7?

Published on 13 Sep 2018 - 14:46

score 90 · Answer 12 · 2018-09-13 23:02:27

90

Views

Is a subalgebra of $\mathbb{C}[x_1,\ldots,x_n]$ of Krull dimension one, isomorphic to $\mathbb{C}[t]$?

Published on 13 Sep 2018 - 23:02

score 134 · Answer 13 · 2026-03-20 05:27:39

134

Views

On cancelling $\mathfrak m$-primary ideal of regular local ring $(R,\mathfrak m)$

Published on 20 Mar 2026 - 5:27

score 210 · Answer 14 · 2026-03-25 18:20:58

210

Views

Dimension of a hypersurface of $\mathbb C^n$ / of a cut by a hypersurface

Published on 25 Mar 2026 - 18:20

score 64 · Answer 15 · 2018-10-02 22:05:53

64

Views

local (not Noetherian) domain satisfying a.c.c. on radical ideals and satisfying d.c.c on prime ideals

Published on 02 Oct 2018 - 22:05

List Question

On the subring $k + Y k [X,Y]$ of the polynomial ring $k[X,Y]$

Krull dimension of $\mathbb{R}[x_1, \ldots, x_n]/(F)$?

Why Krull dimension of zero ring defined to be negative or it is just a convention?

Two affine varieties are equal if they are intersected by an open set, this implies equal dimension?

Krull Dimension and sup

How to define $\operatorname{dim}(\{0\})$ and $\operatorname{ht}(A)$?

Reference on dimension theory (commutative algebra)

computing more dimensions of rings $\mathbb{C}[[x,y,z]]/(f(x,y))$

Descending chain of algebras

Determine $\dim k[x,y,z]/(f)$ with help Krull's Principal Ideal Theorem

(Dimension theory)How can I derive this corollary from Theorem 5.4.7?

Is a subalgebra of $\mathbb{C}[x_1,\ldots,x_n]$ of Krull dimension one, isomorphic to $\mathbb{C}[t]$?

On cancelling $\mathfrak m$-primary ideal of regular local ring $(R,\mathfrak m)$

Dimension of a hypersurface of $\mathbb C^n$ / of a cut by a hypersurface

local (not Noetherian) domain satisfying a.c.c. on radical ideals and satisfying d.c.c on prime ideals

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