Question

Noetherian quotient ring of non-noetherian non-commutative ring

score 96 · Answer 1 · 2022-09-01 07:19:09

96

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Noetherian quotient ring of non-noetherian non-commutative ring

Published on 01 Sep 2022 - 7:19

score 108 · Answer 2 · 2026-03-28 08:50:05

108

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Is the ring of formal power series in $n$ variables the colimit of the powers of its maximal ideal

Published on 28 Mar 2026 - 8:50

score 87 · Answer 3 · 2022-09-05 06:43:39

87

Views

A question from Hungerford’s algebra, Chapter VIII, lemma 4.2

Published on 05 Sep 2022 - 6:43

score 113 · Answer 4 · 2022-09-13 20:32:01

113

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What Is the Proof that a Conjecture of Eisenbud and Evans Implies a Conjecture of Forster?

Published on 13 Sep 2022 - 20:32

score 206 · Answer 5 · 2022-09-19 12:06:22

206

Views

The components of a Noetherian space are its maximal irreducible closed subsets.

Published on 19 Sep 2022 - 12:06

score 35 · Answer 6 · 2022-09-21 10:11:09

35

Views

Regarding the ideals of the ring $R^{\infty}$

Published on 21 Sep 2022 - 10:11

score 400 · Answer 7 · 2022-09-22 16:17:45

400

Views

A Noetherian space is a disjoint union of finitely many connected closed subsets (i.e., its connected components).

Published on 22 Sep 2022 - 16:17

score 78 · Answer 8 · 2022-09-24 00:01:25

78

Views

Noetherian Rings in Nonstandard Framework

Published on 24 Sep 2022 - 0:01

score 60 · Answer 9 · 2026-03-25 19:05:31

60

Views

If $\text{Ass}(R/P^n)=\{P\}$ hold for infinitely many $n$ , then does it hold eventually for all large enough $n$?

Published on 25 Mar 2026 - 19:05

score 41 · Answer 10 · 2022-09-26 00:22:48

41

Views

Is there a Noetherian ring which satisfies this property?

Published on 26 Sep 2022 - 0:22

score 62 · Answer 11 · 2026-03-28 10:04:31

62

Views

When is $R$ a direct summand of Frobenius pushforward?

Published on 28 Mar 2026 - 10:04

score 174 · Answer 12 · 2022-10-16 16:13:22

174

Views

Minimal and Maximal prime ideals

Published on 16 Oct 2022 - 16:13

score 87 · Answer 13 · 2022-10-16 18:28:01

87

Views

Show the ring given by adjoining n-th roots to integers is not Noetherian

Published on 16 Oct 2022 - 18:28

score 155 · Answer 14 · 2026-03-27 14:03:18

155

Views

Is a surjective homomorphism $f: A\to A $ where $A$ is Noetherian an isomorphism? Is it true for injective homomorphism?

Published on 27 Mar 2026 - 14:03

score 50 · Answer 15 · 2022-10-29 08:35:53

50

Views

Integer-valued sequence ring and noetherianity

Published on 29 Oct 2022 - 8:35

List Question

Noetherian quotient ring of non-noetherian non-commutative ring

Is the ring of formal power series in $n$ variables the colimit of the powers of its maximal ideal

A question from Hungerford’s algebra, Chapter VIII, lemma 4.2

What Is the Proof that a Conjecture of Eisenbud and Evans Implies a Conjecture of Forster?

The components of a Noetherian space are its maximal irreducible closed subsets.

Regarding the ideals of the ring $R^{\infty}$

A Noetherian space is a disjoint union of finitely many connected closed subsets (i.e., its connected components).

Noetherian Rings in Nonstandard Framework

If $\text{Ass}(R/P^n)=\{P\}$ hold for infinitely many $n$ , then does it hold eventually for all large enough $n$?

Is there a Noetherian ring which satisfies this property?

When is $R$ a direct summand of Frobenius pushforward?

Minimal and Maximal prime ideals

Show the ring given by adjoining n-th roots to integers is not Noetherian

Is a surjective homomorphism $f: A\to A $ where $A$ is Noetherian an isomorphism? Is it true for injective homomorphism?

Integer-valued sequence ring and noetherianity

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