Projective and injective modules
Part of the Mathematics and Its Applications book series (MAIA, volume 449)
For a ring A, the following conditions are equivalent.
All right A-modules are free.
There exists a simple free module MA.
AA is a simple module.
All nonzero elements of A are right mvertible.
A is a division ring.
KeywordsDirect Summand Homomorphic Image Projective Module Injective Module Essential Extension
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media Dordrecht 1998