Are these vector spaces isomorphs?

  • Thread starter gotmejerry
  • Start date
  • #1
Let K1={a + (2^0.5)*b} | a,b rational numbers}, and K2={a + (3^0.5)*b} | a,b rational numbers} be two fields with the common multiplication and addition. Isomorphs are the following vector spaces :
(Q^n ., +; K1) and (Q^n ., +; K2) ?
 

Answers and Replies

  • #2
Deveno
Science Advisor
906
6
two finite dimensional vector spaces over the same underlying field are isomorphic if and only if they have the same dimension.
 

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