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: Tue Jul 12, 2022 12:08 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.] 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)-dimȚ(U).