Question

What are the module homomorphisms from $\mathbb Q$ to $\mathbb Z/2\mathbb Z$?

score 77 · Answer 1 · 2024-01-19 04:43:11

77

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What are the module homomorphisms from $\mathbb Q$ to $\mathbb Z/2\mathbb Z$?

Published on 19 Jan 2024 - 4:43

score 53 · Answer 2 · 2024-02-07 17:59:26

53

Views

existence of a ring isomorphism from A to the ring of complex numbers

Published on 07 Feb 2024 - 17:59

score 78 · Answer 3 · 2024-02-27 19:31:34

78

Views

Isomorphism between two fields can be extended to isomorphism between their respective closures

Published on 27 Feb 2024 - 19:31

score 47 · Answer 4 · 2024-03-08 09:29:39

47

Views

A question about the embedding from $\mathbb{Q}(\sqrt{2},\sqrt{3})$ to an algebraic closure of $\mathbb{Q}$

Published on 08 Mar 2024 - 9:29

score 39 · Answer 5 · 2024-03-17 13:32:59

39

Views

All module homomorphisms from $\mathbb{Z}^n$ to $\mathbb{Z}$

Published on 17 Mar 2024 - 13:32

score 53 · Answer 6 · 2024-03-18 02:16:46

53

Views

doubt about ring homomorphism. in $f(a)=a^2$

Published on 18 Mar 2024 - 2:16

score 318 · Answer 7 · 2015-02-21 20:20:28

318

Views

Let $A$ and $R$ be rings and $f : A → R$ a ring homomorphism.

Published on 21 Feb 2015 - 20:20

score 739 · Answer 8 · 2015-06-20 01:43:09

739

Views

Existence of ring homomorphism from $\mathbb{Z}[\frac{i}{2}]$ to a finite field

Published on 20 Jun 2015 - 1:43

score 4.5k · Answer 9 · 2015-06-21 22:35:52

4.5k

Views

Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?

Published on 21 Jun 2015 - 22:35

score 5k · Answer 10 · 2015-10-05 19:45:07

5k

Views

Prove that a mapping from C to M2(R) is injective and a homomorphismm

Published on 05 Oct 2015 - 19:45

score 2.7k · Answer 11 · 2016-04-25 22:05:26

2.7k

Views

How would you show that field automorphisms fix prime subfields?

Published on 25 Apr 2016 - 22:05

score 1.3k · Answer 12 · 2026-03-14 02:59:17

1.3k

Views

To show that $\langle x-a , y-b\rangle$ is a maximal ideal of $F[x,y]$ by showing that $F[x,y]/\langle x-a , y-b\rangle$ is a field

Published on 14 Mar 2026 - 2:59

score 62 · Answer 13 · 2016-05-17 19:29:33

62

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Let $A$ be a ring, $M''$ and $P$ be $A$-modules and $f:P\rightarrow M''$ a homomorphism...

Published on 17 May 2016 - 19:29

score 36 · Answer 14 · 2016-05-18 04:44:58

36

Views

What does the homomorphism $\rho: \mathbb Z[X] \longrightarrow \mathbb R$, $X\longmapsto 1+\sqrt2$ describe?

Published on 18 May 2016 - 4:44

score 566 · Answer 15 · 2016-05-18 17:58:07

566

Views

If $R_1$ is a division ring, any nontrivial homomorphism $\phi : R_1 \rightarrow R_2$ is injective

Published on 18 May 2016 - 17:58

List Question

What are the module homomorphisms from $\mathbb Q$ to $\mathbb Z/2\mathbb Z$?

existence of a ring isomorphism from A to the ring of complex numbers

Isomorphism between two fields can be extended to isomorphism between their respective closures

A question about the embedding from $\mathbb{Q}(\sqrt{2},\sqrt{3})$ to an algebraic closure of $\mathbb{Q}$

All module homomorphisms from $\mathbb{Z}^n$ to $\mathbb{Z}$

doubt about ring homomorphism. in $f(a)=a^2$

Let $A$ and $R$ be rings and $f : A → R$ a ring homomorphism.

Existence of ring homomorphism from $\mathbb{Z}[\frac{i}{2}]$ to a finite field

Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?

Prove that a mapping from C to M2(R) is injective and a homomorphismm

How would you show that field automorphisms fix prime subfields?

To show that $\langle x-a , y-b\rangle$ is a maximal ideal of $F[x,y]$ by showing that $F[x,y]/\langle x-a , y-b\rangle$ is a field

Let $A$ be a ring, $M''$ and $P$ be $A$-modules and $f:P\rightarrow M''$ a homomorphism...

What does the homomorphism $\rho: \mathbb Z[X] \longrightarrow \mathbb R$, $X\longmapsto 1+\sqrt2$ describe?

If $R_1$ is a division ring, any nontrivial homomorphism $\phi : R_1 \rightarrow R_2$ is injective

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