flat module

A right module $M$ over a ring $R$ is flat if the tensor product functor $M{\otimes }_R(-)$ is an exact functor.

Similarly, a left module $N$ over $R$ is flat if the tensor product functor $(-){\otimes }_{R}N$ is an exact functor.

Title	flat module
Canonical name	FlatModule
Date of creation	2013-03-22 12:09:45
Last modified on	2013-03-22 12:09:45
Owner	antizeus (11)
Last modified by	antizeus (11)
Numerical id	6
Author	antizeus (11)
Entry type	Definition
Classification	msc 16D40
Synonym	flat