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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1240.0. "Problem on commutative ring with unity" by GUESS::DERAMO (Dan D'Eramo) Sat May 12 1990 11:56

Path: shlump.nac.dec.com!decuac!haven!ames!think!zaphod.mps.ohio-state.edu!usc!apple!agate!shelby!csli!cortex
From: [email protected] (John Eisenberg)
Newsgroups: sci.math
Subject: Integral Domains
Message-ID: <[email protected]>
Date: 13 Apr 90 08:38:55 GMT
Sender: [email protected] (John Eisenberg)
Reply-To: [email protected] (John Eisenberg)
Organization: Center for the Study of Language and Information, Stanford U.
Lines: 20
 
Newsgroups: sci.math
Subject: Integral Domain question
Expires: 
References: 
Sender: 
Reply-To: [email protected] (John Eisenberg)
Followup-To: 
Distribution: world
Organization: Center for the Study of Language and Information, Stanford U.
Keywords: 
 
 
Does anyone know a nice solution to the follwing question?
 
Let R be an infinite commutative ring with multiplicative identity.
Assume that R/I is finite for all nontrivial ideals I.  Prove that
R is an integral domain.
 
       Thanks,
 
              John.
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