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Absolutely-flat ring

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A ring over which any (right or left) module is a flat module. This class is identical with the class of von Neumann regular rings (cf. Regular ring (in the sense of von Neumann)).

How to Cite This Entry:
Absolutely-flat ring. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Absolutely-flat_ring&oldid=12971