List questions from ring-homomorphism

Published on 10 Oct 2019 - 10:51

142

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Ring Homomorphism determined by a 6th root of unity

Published on 20 Oct 2019 - 0:54

181

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$\varphi:M\to A^n$; $\operatorname{Ker}(\varphi)$ finitely generated

Published on 22 Oct 2019 - 15:22

59

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If $\phi:R\to S$ is an injective ring homomorphism, then is $\phi(R)\cong R$?

Published on 23 Oct 2019 - 7:09

110

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Showing a commutative ring with field subring has a unique ring homomorphism on polynomials

Published on 26 Oct 2019 - 17:07

35

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An easy question (given as an image) of showing $\ker θ = \langle X^2-1\rangle$ where $ θ : ℝ[X] \to M_2(ℝ)$ is a homomorphism.

Published on 30 Oct 2019 - 17:12

287

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Surjective Ring Homomorphism from Center to Center

Published on 01 Nov 2019 - 9:20

110

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Is the trivial homomorphic image of a field a ring?

Published on 02 Nov 2019 - 23:59

41

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Integral ring homomorphisms exercise

Published on 03 Nov 2019 - 20:38

215

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Prove that $\varphi$ is a surjective ring homomorphism.

Published on 03 Nov 2019 - 21:36

815

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Does there exist a nonzero ring homomorphism from the ring of square rational matrices to the ring of rational numbers?

Published on 08 Nov 2019 - 20:33

71

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Ring to field homomorphism

Published on 09 Nov 2019 - 18:26

1.1k

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Prove that $R/I$ and $S/\phi(I)$ are isomorphic

Published on 11 Nov 2019 - 7:06

71

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Let $\theta : \mathbb{C} → \mathbb{R}$ be a homomorphism. Prove that $\theta(x) = 0$ for all $x \in \mathbb{C}$.

Published on 13 Nov 2019 - 22:17

71

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Field homomorphism $\mathbb{Z}/3\mathbb{Z} \to \mathbb{Z}/5\mathbb{Z}$

Published on 14 Nov 2019 - 1:24

List Question

Name of this homomorphism like mapping

Ring Homomorphism determined by a 6th root of unity

$\varphi:M\to A^n$; $\operatorname{Ker}(\varphi)$ finitely generated

If $\phi:R\to S$ is an injective ring homomorphism, then is $\phi(R)\cong R$?

Showing a commutative ring with field subring has a unique ring homomorphism on polynomials

An easy question (given as an image) of showing $\ker θ = \langle X^2-1\rangle$ where $ θ : ℝ[X] \to M_2(ℝ)$ is a homomorphism.

Surjective Ring Homomorphism from Center to Center

Is the trivial homomorphic image of a field a ring?

Integral ring homomorphisms exercise

Prove that $\varphi$ is a surjective ring homomorphism.

Does there exist a nonzero ring homomorphism from the ring of square rational matrices to the ring of rational numbers?

Ring to field homomorphism

Prove that $R/I$ and $S/\phi(I)$ are isomorphic

Let $\theta : \mathbb{C} → \mathbb{R}$ be a homomorphism. Prove that $\theta(x) = 0$ for all $x \in \mathbb{C}$.

Field homomorphism $\mathbb{Z}/3\mathbb{Z} \to \mathbb{Z}/5\mathbb{Z}$

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