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

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

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