Question

Principal generators of prime ideals is $\mathbb{Q}[\sqrt{m}]$ for m=-1, -2, -3

score 136 · Answer 1 · 2026-03-29 10:29:35

136

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Principal generators of prime ideals is $\mathbb{Q}[\sqrt{m}]$ for m=-1, -2, -3

Published on 29 Mar 2026 - 10:29

score 416 · Answer 2 · 2026-03-27 22:03:01

416

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structure of ideals in lie algebra

Published on 27 Mar 2026 - 22:03

score 92 · Answer 3 · 2026-03-30 17:00:51

92

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equivalent definitions of ideals in non commutative, non associative algebra

Published on 30 Mar 2026 - 17:00

score 141 · Answer 4 · 2026-03-29 10:29:32

141

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Application of the decomposition of prime ideals as $Q_q^{e_1}Q_2^{e_2}\dots Q_R^{e_r}$

Published on 29 Mar 2026 - 10:29

score 596 · Answer 5 · 2020-05-17 06:40:01

596

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Proof about Extension and Contraction of Ideals

Published on 17 May 2020 - 6:40

score 129 · Answer 6 · 2020-05-17 11:46:29

129

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Atiyah-Macdonald Question 1.7

Published on 17 May 2020 - 11:46

score 97 · Answer 7 · 2026-03-26 00:09:57

97

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The saturation $J:(t_1\cdots t_m)^\infty$, where all generators of $J$ have degree one in the $t_i$'s

Published on 26 Mar 2026 - 0:09

score 199 · Answer 8 · 2020-05-19 15:37:29

199

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For $A$, a commutative ring with identity, show $J(A)=\{x\in A:xy-1 \in A^\times, \forall y \in A\}$, $J(A)$ being the Jacobson radical.

Published on 19 May 2020 - 15:37

score 68 · Answer 9 · 2026-03-30 18:32:02

68

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Descending chaincondition for cyclic ideals

Published on 30 Mar 2026 - 18:32

score 119 · Answer 10 · 2026-03-25 20:41:51

119

Views

Factorization into prime ideals in dedekind domain $\mathbb{C}[t]_{(t)}[x]/(x^3+x^2+t)$

Published on 25 Mar 2026 - 20:41

score 1.3k · Answer 11 · 2026-03-25 19:01:03

1.3k

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Structure theorem for modules over Dedekind domains

Published on 25 Mar 2026 - 19:01

score 206 · Answer 12 · 2026-03-26 11:01:27

206

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If $I$ is a proper ideal not prime, there exists $J,K$ such that $J\subsetneq I$, $K\subsetneq I$ and $JK\subseteq I$

Published on 26 Mar 2026 - 11:01

score 94 · Answer 13 · 2020-05-21 17:24:12

94

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Miles Reid Commutative Algebra exercise 3.3 (Noetherian rings)

Published on 21 May 2020 - 17:24

score 113 · Answer 14 · 2026-03-30 08:30:09

113

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Quotient $\mathbb{Z}[X]$ by an irreducible and monic polynomial.

Published on 30 Mar 2026 - 8:30

score 85 · Answer 15 · 2020-05-23 14:59:09

85

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Ideals whose union is an ideal

Published on 23 May 2020 - 14:59

List Question

Principal generators of prime ideals is $\mathbb{Q}[\sqrt{m}]$ for m=-1, -2, -3

structure of ideals in lie algebra

equivalent definitions of ideals in non commutative, non associative algebra

Application of the decomposition of prime ideals as $Q_q^{e_1}Q_2^{e_2}\dots Q_R^{e_r}$

Proof about Extension and Contraction of Ideals

Atiyah-Macdonald Question 1.7

The saturation $J:(t_1\cdots t_m)^\infty$, where all generators of $J$ have degree one in the $t_i$'s

For $A$, a commutative ring with identity, show $J(A)=\{x\in A:xy-1 \in A^\times, \forall y \in A\}$, $J(A)$ being the Jacobson radical.

Descending chaincondition for cyclic ideals

Factorization into prime ideals in dedekind domain $\mathbb{C}[t]_{(t)}[x]/(x^3+x^2+t)$

Structure theorem for modules over Dedekind domains

If $I$ is a proper ideal not prime, there exists $J,K$ such that $J\subsetneq I$, $K\subsetneq I$ and $JK\subseteq I$

Miles Reid Commutative Algebra exercise 3.3 (Noetherian rings)

Quotient $\mathbb{Z}[X]$ by an irreducible and monic polynomial.

Ideals whose union is an ideal

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