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On<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi></mml:math>-flat modules and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi></mml:math>-Von Neumann regular rings
We show that each R ‐module is n ‐flat (resp., weakly n ‐flat) if and only if R is an ( n , n − 1)‐ring (resp., a weakly ( n , n − 1)‐ring). We also give a new characterization of n ‐Von Neumann regular rings and a characterization …