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Non ordered field (Posted on 2007-06-06) Difficulty: 2 of 5
Prove that the field of complex numbers cannot be ordered.

An ordered field F is a field having a subset P satisfying the following:

1) For all x,y in P, x+y in P
2) For all x,y in P, x*y in P
3) For all x in F, exactly one of the statements
      (x in P,  x = 0,  -x in P) is true.

See The Solution Submitted by Bractals    
Rating: 3.0000 (1 votes)

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  Subject Author Date
SolutionSolutionK Sengupta2007-06-07 04:57:56
SolutionSolutionRobby Goetschalckx2007-06-06 09:57:32
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