List questions from ring-theory

Published on 13 Apr 2026 - 6:52

296

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$\bf{Z}$-module homomorphism and $\bf{Q}$-module homorphism

Published on 13 Apr 2026 - 17:19

432

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Euclid's Lemma for Euclidean Ring.

Published on 14 Apr 2026 - 0:15

65

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Why does the characteristic need to be 3?

Published on 13 Apr 2026 - 19:36

66

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Let $f(x)\in K[x]$ ($K$ field). Prove that if $(f(x),f´(x))=1$ (greatest common divisor is 1) then $f(x)$ does not have multiple roots in $K$

Published on 13 Apr 2026 - 16:12

111

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$a^n = 0 \implies a \in P$ (where $P$ is a prime ideal)

Published on 14 Apr 2026 - 15:06

248

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Localization at primes and local ring

Published on 22 Apr 2026 - 15:29

86

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Not so usual equivalence of maximal left ideal of a ring

Published on 15 Apr 2026 - 20:57

83

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Isomophism between rings an two right ideals

Published on 17 Apr 2026 - 8:46

119

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Counterexamples for the image of central,idempotent,invertible and nilpotent elements of a ring

Published on 14 Apr 2026 - 23:33

473

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Semirings induced by symmetric monoidal categories with finite coproducts

Published on 14 Apr 2026 - 18:36

366

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Prove that $\{x + y \cdot \sqrt{3} | x, y \in \mathbb{Z} \}$ is a ring (or not)

Published on 14 Apr 2026 - 19:45

16.7k

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Correspondence theorem for rings.

Published on 11 Apr 2026 - 23:44

1.1k

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"Local free"ness in vector bundles and projective modules

Published on 22 Apr 2026 - 15:38

109

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Newbie into categorical proofs

Published on 12 Apr 2026 - 10:12

List Question

Function from a set to a ring

$\bf{Z}$-module homomorphism and $\bf{Q}$-module homorphism

Euclid's Lemma for Euclidean Ring.

Why does the characteristic need to be 3?

Let $f(x)\in K[x]$ ($K$ field). Prove that if $(f(x),f´(x))=1$ (greatest common divisor is 1) then $f(x)$ does not have multiple roots in $K$

$a^n = 0 \implies a \in P$ (where $P$ is a prime ideal)

Localization at primes and local ring

Not so usual equivalence of maximal left ideal of a ring

Isomophism between rings an two right ideals

Counterexamples for the image of central,idempotent,invertible and nilpotent elements of a ring

Semirings induced by symmetric monoidal categories with finite coproducts

Prove that $\{x + y \cdot \sqrt{3} | x, y \in \mathbb{Z} \}$ is a ring (or not)

Correspondence theorem for rings.

"Local free"ness in vector bundles and projective modules

Newbie into categorical proofs

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