List questions from ring-theory

Published on 22 Mar 2026 - 4:22

104

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Injective object in the category of rings

Published on 25 Mar 2026 - 5:01

62

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$\Omega^1_{B/A}=0$ then $\mathfrak{q}=\mathfrak{p}B$

Published on 01 Feb 2018 - 16:31

195

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Why is $F[X]$ integrally closed?

Published on 23 Mar 2026 - 1:35

409

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When a simple ideal contained in the sum of ideals

Published on 01 Feb 2018 - 17:19

43

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$B$ finite over $A$ implies $B_{\mathfrak{p}}$ finitely generated as $A_{\mathfrak{q}}$-algebra

Published on 01 Feb 2018 - 17:38

41

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Integral Elements form a Ring

Published on 19 Mar 2026 - 21:25

124

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Is $\mathbb Z[x]/(x-2)\cong\mathbb Z$?

Published on 24 Mar 2026 - 20:40

788

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A reference for ring examples

Published on 25 Mar 2026 - 7:23

27

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Local normal domains

Published on 02 Feb 2018 - 14:57

60

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Show this is contradictory: $\frac12 sin(2t) \equiv b_1cos(t)+...+b_kcos(kt)+c_1sin(t)+...c_lsin(lt)$ where $b_1,...,b_k,c_1,...,c_l\in \mathbb Z$

Published on 02 Feb 2018 - 15:09

167

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Ideas on proving or disproving a ring is integrally closed

Published on 23 Mar 2026 - 3:26

315

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Verifying Subtraction Closure in the Product of Two Ideals

Published on 03 Feb 2018 - 0:49

168

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Why must a domain be nonzero?

Published on 20 Mar 2026 - 1:37

464

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Prove that if $f:R\rightarrow S$ is a semiring homomorphism and $R$ is a ring, then $S$ is a ring as well.

Published on 03 Feb 2018 - 14:42

List Question

Why noetherian ring satisfies the maximal condition?

Injective object in the category of rings

$\Omega^1_{B/A}=0$ then $\mathfrak{q}=\mathfrak{p}B$

Why is $F[X]$ integrally closed?

When a simple ideal contained in the sum of ideals

$B$ finite over $A$ implies $B_{\mathfrak{p}}$ finitely generated as $A_{\mathfrak{q}}$-algebra

Integral Elements form a Ring

Is $\mathbb Z[x]/(x-2)\cong\mathbb Z$?

A reference for ring examples

Local normal domains

Show this is contradictory: $\frac12 sin(2t) \equiv b_1cos(t)+...+b_kcos(kt)+c_1sin(t)+...c_lsin(lt)$ where $b_1,...,b_k,c_1,...,c_l\in \mathbb Z$

Ideas on proving or disproving a ring is integrally closed

Verifying Subtraction Closure in the Product of Two Ideals

Why must a domain be nonzero?

Prove that if $f:R\rightarrow S$ is a semiring homomorphism and $R$ is a ring, then $S$ is a ring as well.

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