| Version current |
Version 1 |
| A right module $M$ over a ring $R$ is {\it flat} |
A right module $M$ over a ring $R$ is {\it flat} |
| if the tensor product functor $M \otimes_R (-)$ |
if the tensor product functor $M \otimes_R (-)$ |
| is an exact functor. |
is an exact functor. |
|
|
| Similarly, a left module $N$ over $R$ is {\it flat} |
Similarly, a left module $N$ over $R$ is {\it flat} |
| if the tensor product functor $(-) \otimes_R N$ |
if the tensor product functor $(-) \otimes_R N$ |
| is an exact functor. |
is an exact functor. |
