Given $A,B,C$ Modules over a commutative ring $R$ when I can say that $A \otimes C \simeq B\otimes C\Rightarrow A\simeq B$?
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When $C\cong R$? – Angina Seng Jun 13 '20 at 11:18
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Obviously i don’t need a complete list of the cases but as much cases as possible.. – Fabrizio Jun 13 '20 at 11:28
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when $C$ is a faithfully flat $R$-module ? – GreginGre Jun 13 '20 at 16:45