Determine dimo(Q[√2+√3]). [Hint: Recall from Exercise 4(i) in Section 5 that Q[√2+√3] = Q[√2, √3], and check Lemma 4.2.]
Posted: Mon Jul 11, 2022 12:04 pm
- Determine Dimo Q 2 3 Hint Recall From Exercise 4 I In Section 5 That Q 2 3 Q 2 3 And Check Lemma 4 2 1 (18.46 KiB) Viewed 36 times
Lemma 4.2 Let U be a ring, and let S and T be subfields of U with SCT. Assume that dims(T) and dimT(U) are finite. Then dims (U) = dims (T) dimŢ(U).