List questions from ring-homomorphism

Published on 05 Mar 2020 - 16:56

52

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Existence of ring homomorphism from $\mathbb{Z}[[x]] \to \mathbb{Z} $

Published on 19 Mar 2020 - 0:09

324

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Characteristic of a ring: $\ker(\varphi) = (n)$.

Published on 30 Mar 2020 - 20:21

255

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Some Properties about the Characteristic of a Ring

Published on 01 Apr 2020 - 15:34

109

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Cardinal number of $U(\Bbb Z / 4 \Bbb Z \times \Bbb Z/5 \Bbb Z)$ and zero divisors of $\Bbb Z / 45 \Bbb Z \times \Bbb Z / 27 \Bbb Z$

Published on 09 Apr 2020 - 10:24

56

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Definition of homomorphism

Published on 09 Apr 2020 - 16:35

38

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Question about rings homomorphism

Published on 14 Apr 2020 - 9:00

99

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Are field embeddings unique?

Published on 15 Apr 2020 - 13:56

76

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Are order-preserving field embeddings unique?

Published on 15 Apr 2020 - 15:39

284

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Field homomorphism is onto

Published on 18 Apr 2020 - 12:19

366

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Show that every map of $S^{k + l} \rightarrow S^k \times S^l$ induces the given trivial homomorphism.

Published on 21 Apr 2020 - 21:51

125

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Prove $Ra/Rab$ $\cong_R$ $R/Rb$ , with $R$ a domain and $a,b$ not zero

Published on 30 Apr 2020 - 11:33

198

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Prove there cannot be a ring homomorphism $ ϕ : \mathbb{C} → \mathbb{R}$

Published on 03 May 2020 - 12:39

28

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Show $f$: $Z_{mn}\mapsto Z_{m}$ $\times$ $Z_{n}$ by the rule $f(x\pmod{mn}) = (x\pmod{m}, x\pmod{n})$ is a homomorphism.

Published on 04 May 2020 - 12:50

18

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Help determine what kind of mapping

Published on 21 Mar 2026 - 14:00

List Question

Is this proof on ideal maximality correct?

Existence of ring homomorphism from $\mathbb{Z}[[x]] \to \mathbb{Z} $

Characteristic of a ring: $\ker(\varphi) = (n)$.

Some Properties about the Characteristic of a Ring

Cardinal number of $U(\Bbb Z / 4 \Bbb Z \times \Bbb Z/5 \Bbb Z)$ and zero divisors of $\Bbb Z / 45 \Bbb Z \times \Bbb Z / 27 \Bbb Z$

Definition of homomorphism

Question about rings homomorphism

Are field embeddings unique?

Are order-preserving field embeddings unique?

Field homomorphism is onto

Show that every map of $S^{k + l} \rightarrow S^k \times S^l$ induces the given trivial homomorphism.

Prove $Ra/Rab$ $\cong_R$ $R/Rb$ , with $R$ a domain and $a,b$ not zero

Prove there cannot be a ring homomorphism $ ϕ : \mathbb{C} → \mathbb{R}$

Show $f$: $Z_{mn}\mapsto Z_{m}$ $\times$ $Z_{n}$ by the rule $f(x\pmod{mn}) = (x\pmod{m}, x\pmod{n})$ is a homomorphism.

Help determine what kind of mapping

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