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0

$begingroup$

I have a problem with exact sequences:
Prove that, there exist an exact sequence
$0 longrightarrow mathbbZ_2 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_2 longrightarrow 0$
And an exact sequence
$... longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow …$
Is that anyway to solve this problem or we have to give an direct homomorphism?

sequences-and-series

share|cite|improve this question

asked Mar 12 at 9:54

Ngu HuynhNgu Huynh

1

New contributor

Ngu Huynh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. Please read this text about how to ask a good question.
  $endgroup$
  – José Carlos Santos
  Mar 12 at 9:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  You have to look for specific homomorphisms, yes. Very easy.
  $endgroup$
  – Berci
  Mar 12 at 9:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Can you give me sepcofic homorphism?
  $endgroup$
  – Ngu Huynh
  Mar 12 at 10:16
  

  
  
  
  

add a comment | 

0

$begingroup$

I have a problem with exact sequences:
Prove that, there exist an exact sequence
$0 longrightarrow mathbbZ_2 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_2 longrightarrow 0$
And an exact sequence
$... longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow …$
Is that anyway to solve this problem or we have to give an direct homomorphism?

sequences-and-series

share|cite|improve this question

asked Mar 12 at 9:54

Ngu HuynhNgu Huynh

1

New contributor

Ngu Huynh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. Please read this text about how to ask a good question.
  $endgroup$
  – José Carlos Santos
  Mar 12 at 9:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  You have to look for specific homomorphisms, yes. Very easy.
  $endgroup$
  – Berci
  Mar 12 at 9:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Can you give me sepcofic homorphism?
  $endgroup$
  – Ngu Huynh
  Mar 12 at 10:16
  

  
  
  
  

add a comment | 

$begingroup$

I have a problem with exact sequences:
Prove that, there exist an exact sequence
$0 longrightarrow mathbbZ_2 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_2 longrightarrow 0$
And an exact sequence
$... longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow mathbbZ_4 longrightarrow …$
Is that anyway to solve this problem or we have to give an direct homomorphism?

sequences-and-series

share|cite|improve this question

asked Mar 12 at 9:54

Ngu HuynhNgu Huynh

1

New contributor

Ngu Huynh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

asked Mar 12 at 9:54

Ngu HuynhNgu Huynh

1

New contributor

Ngu Huynh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

asked Mar 12 at 9:54

Ngu HuynhNgu Huynh

1

New contributor

Ngu Huynh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 12 at 9:54

Ngu HuynhNgu Huynh

1

New contributor

Ngu Huynh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 12 at 9:54

Ngu HuynhNgu Huynh

1