List questions from ideals

Published on 19 Apr 2026 - 13:45

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Let $A$ be a ring and $m_1,...,m_k$ maximal ideals

Published on 16 Apr 2026 - 0:53

414

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Show that $I^{(n)}$ is a primary ideal belonging to $P$

Published on 30 Mar 2026 - 4:41

456

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$(2, 1+\sqrt{-5})$ is a prime ideal in $\mathbb{Z}[\sqrt{-5}]$

Published on 14 Apr 2026 - 6:14

206

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Show that $I$ is an ideal

Published on 13 Apr 2026 - 19:38

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Norm of element $\alpha$ equal to absolute norm of principal ideal $(\alpha)$

Published on 11 Apr 2026 - 23:43

275

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How can we show that $I$ is an ideal?

Published on 12 Apr 2026 - 7:28

1k

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Algebraic number theory, Marcus, Chapter 3, Question 9

Published on 13 Apr 2026 - 10:20

364

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Has toric ideal something to do with torus?

Published on 25 Mar 2026 - 8:08

501

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Is the difference of ideals an ideal?

Published on 10 Apr 2026 - 20:23

192

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$R$ commutative with identity, $I$ finitely generated ideal. For each $r\in I$ there exists $m$ such that $r^mA\subseteq C$. Show $I^nA\subseteq C$.

Published on 16 Apr 2026 - 2:58

70

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How is "binomial" defined in Algebraic Geometry?

Published on 12 Apr 2026 - 22:57

172

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Can every polynomial generate an ideal?

Published on 09 Apr 2026 - 18:05

1.5k

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Each prime ideal contains an idempotent element

Published on 26 Mar 2026 - 22:13

304

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Show $Z(yf-1)$ is irreducible.

Published on 12 Apr 2026 - 16:22

List Question

Proof of commutative Artinian ring is Noetherian

Let $A$ be a ring and $m_1,...,m_k$ maximal ideals

Show that $I^{(n)}$ is a primary ideal belonging to $P$

$(2, 1+\sqrt{-5})$ is a prime ideal in $\mathbb{Z}[\sqrt{-5}]$

Show that $I$ is an ideal

Norm of element $\alpha$ equal to absolute norm of principal ideal $(\alpha)$

How can we show that $I$ is an ideal?

Algebraic number theory, Marcus, Chapter 3, Question 9

Has toric ideal something to do with torus?

Is the difference of ideals an ideal?

$R$ commutative with identity, $I$ finitely generated ideal. For each $r\in I$ there exists $m$ such that $r^mA\subseteq C$. Show $I^nA\subseteq C$.

How is "binomial" defined in Algebraic Geometry?

Can every polynomial generate an ideal?

Each prime ideal contains an idempotent element

Show $Z(yf-1)$ is irreducible.

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