Show that \(1\otimes (1,1,\ldots )\ne 0\) in the tensor product \(\mathbb {Q}\otimes _{\mathbb {Z}}\prod _{n=2}^{\infty }(\mathbb {Z}/n\mathbb {Z})\).
Question
Math 6310 • Algebra
Spring 2008 • Question 7
Question
Spring 2008 • Question 7
Show that \(1\otimes (1,1,\ldots )\ne 0\) in the tensor product \(\mathbb {Q}\otimes _{\mathbb {Z}}\prod _{n=2}^{\infty }(\mathbb {Z}/n\mathbb {Z})\).