List questions from ring-theory

Published on 13 Apr 2026 - 10:49

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Left ideals of $M_n(K)$

Published on 16 Apr 2026 - 14:46

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Are ideals necessarily definable?

Published on 09 Apr 2026 - 1:48

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Find all the ideals of $\mathbb Q[X]$

Published on 16 Apr 2026 - 19:00

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Ideal and factor ring

Published on 12 Apr 2026 - 4:31

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Let $a$ and $b$ be two elements in a commutative ring $R$ and $(a, b) = R$, show that $(a^m, b^n) = R$ for any positive integers $m$ and $n$.

Published on 17 Apr 2026 - 11:40

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How do I take the contraction of an ideal which is not in the image of the given morphism?

Published on 11 Apr 2026 - 1:50

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$\operatorname{End}(V)$ and $\operatorname{End}(V)\times\operatorname{End}(V)$ are isomorphic

Published on 12 Apr 2026 - 16:35

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An error in the book "noncommutative ring" writed by Herstein

Published on 10 Apr 2026 - 8:43

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Statements about ring homomorphisms and division rings

Published on 11 Apr 2026 - 4:39

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Ring homomorphism $f: \mathbb C \to \mathbb C$ such that $f(\mathbb R) \subset \mathbb R$

Published on 24 Apr 2026 - 19:44

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Set containing all rings!

Published on 14 Apr 2026 - 15:00

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prove that $(E_{p^n},*)$ is cyclic group

Published on 14 Apr 2026 - 12:00

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$\mathbb R[X] /\langle X^2-1\rangle$ and $\mathbb R[X,Y]/\langle XY\rangle$ are not fields

Published on 17 Apr 2026 - 7:32

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Zero divisors and units of $\mathbb Z[X]/ \langle X^3 \rangle$

Published on 16 Apr 2026 - 5:05

List Question

Recovering free modules from their projective limit

Left ideals of $M_n(K)$

Are ideals necessarily definable?

Find all the ideals of $\mathbb Q[X]$

Ideal and factor ring

Let $a$ and $b$ be two elements in a commutative ring $R$ and $(a, b) = R$, show that $(a^m, b^n) = R$ for any positive integers $m$ and $n$.

How do I take the contraction of an ideal which is not in the image of the given morphism?

$\operatorname{End}(V)$ and $\operatorname{End}(V)\times\operatorname{End}(V)$ are isomorphic

An error in the book "noncommutative ring" writed by Herstein

Statements about ring homomorphisms and division rings

Ring homomorphism $f: \mathbb C \to \mathbb C$ such that $f(\mathbb R) \subset \mathbb R$

Set containing all rings!

prove that $(E_{p^n},*)$ is cyclic group

$\mathbb R[X] /\langle X^2-1\rangle$ and $\mathbb R[X,Y]/\langle XY\rangle$ are not fields

Zero divisors and units of $\mathbb Z[X]/ \langle X^3 \rangle$

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