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 idealMathworldPlanetmathPlanetmathPlanetmathPlanetmath is idempotentMathworldPlanetmathPlanetmath.

Some properties:


Title absolutely flat
Canonical name AbsolutelyFlat
Date of creation 2013-03-22 14:35:52
Last modified on 2013-03-22 14:35:52
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 5
Author mathcam (2727)
Entry type Definition
Classification msc 16D40