On n -flat modules and n -Von Neumann regular rings

Najib Mahdou

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-6

Abstract:

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 of weak n -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 n -Von Neumann regular ring is a (CH)-ring.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:090868

DOI: 10.1155/IJMMS/2006/90868

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