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Questions about the function $f:\Bbb Z_{8}\rightarrow \Bbb Z_4$

score 631 · Answer 1 · 2026-04-16 16:21:13

631

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Questions about the function $f:\Bbb Z_{8}\rightarrow \Bbb Z_4$

Published on 16 Apr 2026 - 16:21

score 143 · Answer 2 · 2026-04-11 17:47:43

143

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Is the algebraic structure of the full matrix ring preserved by every Lie algebra endomorphism?

Published on 11 Apr 2026 - 17:47

score 41 · Answer 3 · 2026-04-15 14:32:23

41

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What elements does a map of rings fix if both rings contain the same algebraically closed field as a subring?

Published on 15 Apr 2026 - 14:32

score 388 · Answer 4 · 2026-04-16 17:28:20

388

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Finding a unique ring homomorphism

Published on 16 Apr 2026 - 17:28

score 170 · Answer 5 · 2026-04-14 03:13:20

170

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Ring Homomorphism Counterexample

Published on 14 Apr 2026 - 3:13

score 108 · Answer 6 · 2026-04-13 22:11:06

108

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Example of a Jordan homomorphism that is not a homomorphism or antihomomorphism

Published on 13 Apr 2026 - 22:11

score 76 · Answer 7 · 2026-04-16 21:15:35

76

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Showing this is an automorphism

Published on 16 Apr 2026 - 21:15

score 1.6k · Answer 8 · 2026-04-16 16:01:23

1.6k

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The number of ring homomorphism from $\mathbb Z[x,y]\to \mathbb{F}_2[x]/(1+x+x^2+x^3)$

Published on 16 Apr 2026 - 16:01

score 52 · Answer 9 · 2026-04-16 04:26:00

52

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Find a homomorphism that maps a point in a Boolean algebra into the image of a proper filter

Published on 16 Apr 2026 - 4:26

score 128 · Answer 10 · 2026-04-14 07:22:59

128

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Showing a map from $\Bbb Q$ to the field of fractions of $\Bbb Z 1_{R}$ is well defined.

Published on 14 Apr 2026 - 7:22

score 82 · Answer 11 · 2026-04-14 02:23:25

82

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field extension being algebraic is equivalent to every $K-$ algebra being an automorphism.

Published on 14 Apr 2026 - 2:23

score 311 · Answer 12 · 2026-04-11 07:11:58

311

Views

Prove that there is no homomorphism $f:\mathbb { Z } / n \mathbb { Z }\rightarrow \mathbb { Z }$

Published on 11 Apr 2026 - 7:11

score 266 · Answer 13 · 2026-05-10 21:52:11

266

Views

Finding an isomorphic subring of matrices

Published on 10 May 2026 - 21:52

score 77 · Answer 14 · 2026-04-10 16:19:52

77

Views

Ring homomorphism from $\mathbb{Z}$ to integral ring.

Published on 10 Apr 2026 - 16:19

score 528 · Answer 15 · 2026-05-10 18:28:02

528

Views

$x\mapsto x^p$ with $\operatorname{char}(F)=p>0$ is a ring homomorphism

Published on 10 May 2026 - 18:28

List Question

Questions about the function $f:\Bbb Z_{8}\rightarrow \Bbb Z_4$

Is the algebraic structure of the full matrix ring preserved by every Lie algebra endomorphism?

What elements does a map of rings fix if both rings contain the same algebraically closed field as a subring?

Finding a unique ring homomorphism

Ring Homomorphism Counterexample

Example of a Jordan homomorphism that is not a homomorphism or antihomomorphism

Showing this is an automorphism

The number of ring homomorphism from $\mathbb Z[x,y]\to \mathbb{F}_2[x]/(1+x+x^2+x^3)$

Find a homomorphism that maps a point in a Boolean algebra into the image of a proper filter

Showing a map from $\Bbb Q$ to the field of fractions of $\Bbb Z 1_{R}$ is well defined.

field extension being algebraic is equivalent to every $K-$ algebra being an automorphism.

Prove that there is no homomorphism $f:\mathbb { Z } / n \mathbb { Z }\rightarrow \mathbb { Z }$

Finding an isomorphic subring of matrices

Ring homomorphism from $\mathbb{Z}$ to integral ring.

$x\mapsto x^p$ with $\operatorname{char}(F)=p>0$ is a ring homomorphism

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