Question

Weak Version of the Going Down Theorem, Eisenbud Exercise 10.7

score 144 · Answer 1 · 2021-06-19 17:09:16

144

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Weak Version of the Going Down Theorem, Eisenbud Exercise 10.7

Published on 19 Jun 2021 - 17:09

score 209 · Answer 2 · 2026-03-29 16:49:43

209

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A question about Dimension Theory of Noetherian Rings

Published on 29 Mar 2026 - 16:49

score 618 · Answer 3 · 2021-06-30 10:59:48

618

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If $R$ is a noetherian ring, then $ab=1$ implies $ba=1$ $\forall a,b\in R$

Published on 30 Jun 2021 - 10:59

score 98 · Answer 4 · 2026-03-26 01:23:38

98

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Generalizing a previous result on height of irreducible polynomials (special case of Krull's Principal Ideal Theorem)

Published on 26 Mar 2026 - 1:23

score 103 · Answer 5 · 2026-03-27 16:55:23

103

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Intersection of finite free modules over Noetherian domains

Published on 27 Mar 2026 - 16:55

score 111 · Answer 6 · 2021-07-15 19:30:05

111

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Commutative ring with unique primary ideal

Published on 15 Jul 2021 - 19:30

score 117 · Answer 7 · 2026-03-25 13:56:24

117

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Is $\widehat{IM}=\widehat I \widehat M$ for any finitely generated module $M$, where $\widehat {(-)}$ denotes completion w.r.t. maximal ideal?

Published on 25 Mar 2026 - 13:56

score 223 · Answer 8 · 2021-07-23 00:29:24

223

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Zariski space which never occurs as the underlying topological space of a scheme.

Published on 23 Jul 2021 - 0:29

score 198 · Answer 9 · 2021-07-25 04:36:23

198

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Finding Krull dimension of a tensor product

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score 388 · Answer 10 · 2026-03-29 11:43:35

388

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When does a Noetherian ring becomes an Integral domain and vice versa?

Published on 29 Mar 2026 - 11:43

score 416 · Answer 11 · 2026-03-28 04:34:56

416

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Proving a surjective k-algebra homomorphism to be an isomorphism

Published on 28 Mar 2026 - 4:34

score 296 · Answer 12 · 2021-08-13 03:59:34

296

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Elements of $B$ fixed by every element of a finite group of $A$-automorphisms of $B$, $A$ a Noetherian ring and $B$ a finitely-generated $A$-algebra

Published on 13 Aug 2021 - 3:59

score 71 · Answer 13 · 2021-08-13 10:14:21

71

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Chain of ideals in a Noetherian ring

Published on 13 Aug 2021 - 10:14

score 112 · Answer 14 · 2021-08-16 18:35:00

112

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Hint for extension lemma

Published on 16 Aug 2021 - 18:35

score 188 · Answer 15 · 2026-03-29 11:42:58

188

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Is a local ring with a certain finite quotient necessarily noetherian?

Published on 29 Mar 2026 - 11:42

List Question

Weak Version of the Going Down Theorem, Eisenbud Exercise 10.7

A question about Dimension Theory of Noetherian Rings

If $R$ is a noetherian ring, then $ab=1$ implies $ba=1$ $\forall a,b\in R$

Generalizing a previous result on height of irreducible polynomials (special case of Krull's Principal Ideal Theorem)

Intersection of finite free modules over Noetherian domains

Commutative ring with unique primary ideal

Is $\widehat{IM}=\widehat I \widehat M$ for any finitely generated module $M$, where $\widehat {(-)}$ denotes completion w.r.t. maximal ideal?

Zariski space which never occurs as the underlying topological space of a scheme.

Finding Krull dimension of a tensor product

When does a Noetherian ring becomes an Integral domain and vice versa?

Proving a surjective k-algebra homomorphism to be an isomorphism

Elements of $B$ fixed by every element of a finite group of $A$-automorphisms of $B$, $A$ a Noetherian ring and $B$ a finitely-generated $A$-algebra

Chain of ideals in a Noetherian ring

Hint for extension lemma

Is a local ring with a certain finite quotient necessarily noetherian?

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