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Article #212

Re: Test

#212
From: Finopat
Date: Sat, 15 May 2004 20:37
41 lines
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Le Mon, 19 Apr 2004 22:40:06 +0900, herb <fuzzykyh@nate.com> a οΏ½crit:

> Hello,
>
> I am confused relation between field and integral domain.
> I know Every integral domain is a field.
> Then, Is the converse of above : "Every finite field is integral domain"
> true ?
>
> My thinking is following:
>
>  ________  Ring ______________________________________
> |      ________ Ring with unity ___  __________________     |
> |     |
> |     |
> |     |   ___ Division Ring ______  ________________    |     |
> |     |  |                                                             
> |   |
> |
> |     |  |  ___ Integral domain_  ________________  |   |     |
> |     |  | |                                                       |  
> |   |
> |
> |     |  | |   __ Finite field___   __Infinite field__   |  |   |     |
> |     |  | |  |(=finite integral |  |                     |  |  |   
> |     |
> |     |  | |  |   domain)       |  |                     |  |  |   |     
> |
> |     |  | |   --------------     --------------   |  |  |     |
> |     |   -|-----------------------------------|-    |     |
> |     |     |___________________________________|     |     |
> |     |___________________________________________|     |
> |___________________________________________________|
>
> Is above relation diagram correct ?
>
> Thanks for any comments and any help !!
>
>
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From: Finopat <nomail@nospam.fr>
Newsgroups: alive.test
Subject: Re: Test
Date: Sat, 15 May 2004 22:37:52 +0200
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