List questions from ring-homomorphism

Published on 06 Mar 2019 - 4:08

52

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A homomorphism on a nontrivial commutative ring with trivial unit group

Published on 25 Mar 2026 - 7:15

298

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Why $\mathbb{Z}[\sqrt{-5}]\cong\mathbb{Z}[X]/(X^2+5)$ and $\mathbb{C}\cong \mathbb{R}[X]/(X^2+1)$?

Published on 13 Mar 2019 - 14:26

60

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#Hom$(\mathbb{Z}[i], \mathbb{Z}/85\mathbb{Z})$

Published on 13 Mar 2019 - 21:01

942

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Prove that the only ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is Identity mapping

Published on 13 Mar 2019 - 22:36

41

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Proof $\varphi:\mathbb{Z} \rightarrow \mathbb{Z}/p_1 ^{a_1}\mathbb{Z} \times...\times\mathbb{Z}/p_3 ^{a_3} \mathbb{Z}$ is surjective.

Published on 15 Mar 2019 - 6:10

299

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How to find initial object of the category of pointed rings?

Published on 24 Mar 2026 - 10:34

45

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homomorphism question

Published on 23 Mar 2019 - 11:30

58

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Why is $k[S_{r+1},\ldots,S_n]\to k[X_1,\ldots,X_n]/I$ injective?

Published on 24 Mar 2019 - 1:20

640

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Find all ring homomorphisms

Published on 26 Mar 2019 - 15:37

549

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Finding All Ring Homomorphisms from $\Bbb Z_m$ to $\Bbb Z_n$

Published on 09 Apr 2019 - 21:53

47

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Ring Homomorphism Identities

Published on 19 Apr 2019 - 5:19

679

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Prove that there is a unique homomorphism from $\mathbb{Z} [i]$ to $\mathbb{Z}/2\mathbb{Z}$.

Published on 04 May 2019 - 17:48

551

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If $\phi:R\rightarrow R'$ is a surjective ring homomorphism and I is an ideal in R.... continued below

Published on 15 May 2019 - 22:18

369

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Number of ring homomorphism from $\Bbb Z[x,y]$ to $\Bbb F_2[x]/(x^3+x^2+x+1)$

Published on 18 May 2019 - 17:17

List Question

When does $\mathbb{Z}[\zeta_m]$ contain divisors of $2$ (besides units)?

A homomorphism on a nontrivial commutative ring with trivial unit group

Why $\mathbb{Z}[\sqrt{-5}]\cong\mathbb{Z}[X]/(X^2+5)$ and $\mathbb{C}\cong \mathbb{R}[X]/(X^2+1)$?

#Hom$(\mathbb{Z}[i], \mathbb{Z}/85\mathbb{Z})$

Prove that the only ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is Identity mapping

Proof $\varphi:\mathbb{Z} \rightarrow \mathbb{Z}/p_1 ^{a_1}\mathbb{Z} \times...\times\mathbb{Z}/p_3 ^{a_3} \mathbb{Z}$ is surjective.

How to find initial object of the category of pointed rings?

homomorphism question

Why is $k[S_{r+1},\ldots,S_n]\to k[X_1,\ldots,X_n]/I$ injective?

Find all ring homomorphisms

Finding All Ring Homomorphisms from $\Bbb Z_m$ to $\Bbb Z_n$

Ring Homomorphism Identities

Prove that there is a unique homomorphism from $\mathbb{Z} [i]$ to $\mathbb{Z}/2\mathbb{Z}$.

If $\phi:R\rightarrow R'$ is a surjective ring homomorphism and I is an ideal in R.... continued below

Number of ring homomorphism from $\Bbb Z[x,y]$ to $\Bbb F_2[x]/(x^3+x^2+x+1)$

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