Question

On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions

score 472 · Answer 1 · 2016-05-21 16:49:11

472

Views

On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions

Published on 21 May 2016 - 16:49

score 62 · Answer 2 · 2016-05-26 15:44:24

62

Views

Let K be a field, $b\in K$, does there exist a field L and $c\in L$ with: there is no homomorphism, such as $\phi(b)=c$?

Published on 26 May 2016 - 15:44

score 384 · Answer 3 · 2026-03-20 18:42:51

384

Views

Prove or Disprove: there is only one ring homomorphism $f:\mathbb{R} \rightarrow \mathbb{C}$

Published on 20 Mar 2026 - 18:42

score 70 · Answer 4 · 2026-03-10 08:45:28

70

Views

Problem in solving a question of field homomorphism.

Published on 10 Mar 2026 - 8:45

score 323 · Answer 5 · 2016-06-13 23:46:05

323

Views

Ring Homomorphisms of Fields with $f(1)=1$ are Injective?

Published on 13 Jun 2016 - 23:46

score 496 · Answer 6 · 2026-03-15 17:18:04

496

Views

Norm of a unital homomorphism

Published on 15 Mar 2026 - 17:18

score 115 · Answer 7 · 2017-04-12 09:05:54

115

Views

$\phi: M_2(\mathbb{Z})\to \mathbb{Z}$ is necessarily trivial

Published on 12 Apr 2017 - 9:05

score 1.4k · Answer 8 · 2017-04-12 09:21:59

1.4k

Views

Surjective homomorphism $\varphi$ from field to ring implies $\varphi$ isomorphism

Published on 12 Apr 2017 - 9:21

score 1.2k · Answer 9 · 2017-04-13 08:03:33

1.2k

Views

Prove that there is no surjective homomorphism from $\mathbb{Z}[X]$ to $\mathbb{Q}$

Published on 13 Apr 2017 - 8:03

score 2.7k · Answer 10 · 2017-04-13 09:22:52

2.7k

Views

Universal Property of Quotients

Published on 13 Apr 2017 - 9:22

score 1.8k · Answer 11 · 2017-04-14 21:29:25

1.8k

Views

General mapping of a ring homomorphism from ZxZ to ZxZ

Published on 14 Apr 2017 - 21:29

score 2.9k · Answer 12 · 2017-04-29 22:23:23

2.9k

Views

Showing that the kernel of an evaluation map is a principal ideal

Published on 29 Apr 2017 - 22:23

score 77 · Answer 13 · 2017-04-30 00:33:39

77

Views

A $\mathbb{C}$-linear automorphism of order $2$ on $\mathbb{C}[x,y]$, which does not preserve multiplication

Published on 30 Apr 2017 - 0:33

score 203 · Answer 14 · 2017-04-30 23:38:02

203

Views

Determining an algebra homomorphism by its image on a subset of vectors

Published on 30 Apr 2017 - 23:38

score 31 · Answer 15 · 2017-05-05 22:47:28

31

Views

Uniqueness of induced function

Published on 05 May 2017 - 22:47

List Question

On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions

Let K be a field, $b\in K$, does there exist a field L and $c\in L$ with: there is no homomorphism, such as $\phi(b)=c$?

Prove or Disprove: there is only one ring homomorphism $f:\mathbb{R} \rightarrow \mathbb{C}$

Problem in solving a question of field homomorphism.

Ring Homomorphisms of Fields with $f(1)=1$ are Injective?

Norm of a unital homomorphism

$\phi: M_2(\mathbb{Z})\to \mathbb{Z}$ is necessarily trivial

Surjective homomorphism $\varphi$ from field to ring implies $\varphi$ isomorphism

Prove that there is no surjective homomorphism from $\mathbb{Z}[X]$ to $\mathbb{Q}$

Universal Property of Quotients

General mapping of a ring homomorphism from ZxZ to ZxZ

Showing that the kernel of an evaluation map is a principal ideal

A $\mathbb{C}$-linear automorphism of order $2$ on $\mathbb{C}[x,y]$, which does not preserve multiplication

Determining an algebra homomorphism by its image on a subset of vectors

Uniqueness of induced function

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