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Search: Posts Made By: Dr Sardonicus
Forum: Abstract Algebra & Algebraic Number Theory 2018-11-28, 13:16
Replies: 6
Views: 3,507
Posted By Dr Sardonicus
Aw, geez! That's gotta be one of the dumbest...

Aw, geez! That's gotta be one of the dumbest things I've posted! :redface:

Any two cubic field extensions are isomorphic as Q-vector spaces -- not as fields! If you define the extensions via...
Forum: Abstract Algebra & Algebraic Number Theory 2018-11-27, 16:37
Replies: 6
Views: 3,507
Posted By Dr Sardonicus
There's another issue. Although all cubic fields...

There's another issue. Although all cubic fields are "isomorphic" as far as field operations are concerned, there can be distinct cubic fields having defining polynomials in Z[x] with the same field...
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