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Exemplu de extindere
Posted: Sun Jun 22, 2008 3:22 pm
by Cezar Lupu
Dati exemplu de o extindere \( K\supset\mathbb{Q} \) astfel incat \( [K:\mathbb{Q}(\sqrt{2})]=5 \).
Posted: Thu Nov 13, 2008 2:50 pm
by Beniamin Bogosel
Se poate \( \mathbb{Q}(\sqrt[10]{2}) \), cred. Avem \( \mathbb{Q}(\sqrt[10]{2})\supset \mathbb{Q}(\sqrt{2}) \) si \( [\mathbb{Q}(\sqrt[10]{2}):\mathbb{Q}]=10,\ [\mathbb{Q}(\sqrt{2}):\mathbb{Q}]=2 \), adica \( [\mathbb{Q}(\sqrt[10]{2}) ,\mathbb{Q}(\sqrt{2})]=5 \).