Show that \(\mathbb {Q}\otimes _{\mathbb {Z}}\mathbb {Q}\cong \mathbb {Q}\otimes _{\mathbb {Q}}\mathbb {Q}\) as left \(\mathbb {Q}\)-modules.
Question
Math 6310 • Algebra
Fall 2012 • Question 10
Question
Fall 2012 • Question 10
Show that \(\mathbb {Q}\otimes _{\mathbb {Z}}\mathbb {Q}\cong \mathbb {Q}\otimes _{\mathbb {Q}}\mathbb {Q}\) as left \(\mathbb {Q}\)-modules.