List questions from ring-theory

Published on 30 Mar 2026 - 13:19

54

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Intersection of ideals and primary ideals

Published on 25 Mar 2026 - 22:15

137

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Finding all ideals $T$ in number ring $\mathbb Z[\sqrt{-3}]$ s.t. $\langle 4 \rangle \subset T$.

Published on 30 Mar 2026 - 13:22

132

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Are all finite groups isomorphic to multiplicative group of a ring

Published on 30 Mar 2026 - 13:54

264

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If $\psi(m+IM)=\phi(m)+IN$ for an R-module homomorphism $\phi$, why is $\psi(M/IM)=(\phi(M)+IN)/IN$?

Published on 01 Apr 2026 - 13:45

60

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What does $R[[x]]/P$ look like, for $P\lhd R[[x]]$ prime with $P\cap R = 0$?

Published on 24 Feb 2019 - 23:44

2k

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An Example of a Torsion Module

Published on 28 Mar 2026 - 13:36

145

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Cardinality of the ring $ \mathbb{Z}[x]/I $ , $I$ is the ideal generated by $ (x^2+x+1)(x^3+x+1) $

Published on 25 Feb 2019 - 10:38

58

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Proof of n-th root of unity modulo q?

Published on 02 Apr 2026 - 5:58

367

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Ideal of $V(Z-XY,Y^2+XZ-X^2)$

Published on 30 Mar 2026 - 18:28

37

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$A \cong D \subseteq B$ and $B/D \cong C$, is there any operation s.t $B$ can be "constructed" by combining $A$ and $C$ with that operation?

Published on 01 Apr 2026 - 13:42

108

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Why is $6\mathbb{Z} + 9\mathbb{Z}$ a principal ideal of $\mathbb{Z}$?

Published on 30 Mar 2026 - 13:24

124

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$n\geq 2 $ such that the equation $x^2-x+\hat2=\hat0$ has an unique solution in $\mathbb Z_n$

Published on 01 Apr 2026 - 18:52

64

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Regarding operations in a specific ring

Published on 25 Feb 2019 - 23:40

99

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Proving that an element is nilpotent

Published on 25 Mar 2026 - 13:04

List Question

Is this ideal principal?

Intersection of ideals and primary ideals

Finding all ideals $T$ in number ring $\mathbb Z[\sqrt{-3}]$ s.t. $\langle 4 \rangle \subset T$.

Are all finite groups isomorphic to multiplicative group of a ring

If $\psi(m+IM)=\phi(m)+IN$ for an R-module homomorphism $\phi$, why is $\psi(M/IM)=(\phi(M)+IN)/IN$?

What does $R[[x]]/P$ look like, for $P\lhd R[[x]]$ prime with $P\cap R = 0$?

An Example of a Torsion Module

Cardinality of the ring $ \mathbb{Z}[x]/I $ , $I$ is the ideal generated by $ (x^2+x+1)(x^3+x+1) $

Proof of n-th root of unity modulo q?

Ideal of $V(Z-XY,Y^2+XZ-X^2)$

$A \cong D \subseteq B$ and $B/D \cong C$, is there any operation s.t $B$ can be "constructed" by combining $A$ and $C$ with that operation?

Why is $6\mathbb{Z} + 9\mathbb{Z}$ a principal ideal of $\mathbb{Z}$?

$n\geq 2 $ such that the equation $x^2-x+\hat2=\hat0$ has an unique solution in $\mathbb Z_n$

Regarding operations in a specific ring

Proving that an element is nilpotent

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