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- W2024995042 abstract "We show that each<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>R</mml:mi></mml:math>-module is<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi></mml:math>-flat (resp., weakly<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi></mml:math>-flat) if and only if<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>R</mml:mi></mml:math>is an<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>-ring (resp., a weakly<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>-ring). We also give a new characterization of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi></mml:math>-Von Neumann regular rings and a characterization of weak<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi></mml:math>-Von Neumann regular rings for (CH)-rings and for local rings. Finally, we show that in a class of principal rings and a class of local Gaussian rings, a weak<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi></mml:math>-Von Neumann regular ring is a (CH)-ring." @default.
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- W2024995042 date "2006-01-01" @default.
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- W2024995042 title "Onn-flat modules andn-Von Neumann regular rings" @default.
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- W2024995042 doi "https://doi.org/10.1155/ijmms/2006/90868" @default.
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