# absolutely flat

A ring $A$ is absolutely flat if every module over $A$ is flat.

For commutative rings with unity, a ring is absolutely flat if and only if every principal ideal is idempotent.

Some properties:

## References

Title absolutely flat AbsolutelyFlat 2013-03-22 14:35:52 2013-03-22 14:35:52 mathcam (2727) mathcam (2727) 5 mathcam (2727) Definition msc 16D40