Onn-flat modules andn-Von Neumann regular rings
2006 ◽
Vol 2006
◽
pp. 1-6
Keyword(s):
We show that eachR-module isn-flat (resp., weaklyn-flat) if and only ifRis an(n,n−1)-ring (resp., a weakly(n,n−1)-ring). We also give a new characterization ofn-Von Neumann regular rings and a characterization of weakn-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 weakn-Von Neumann regular ring is a (CH)-ring.
1974 ◽
Vol 17
(2)
◽
pp. 283-284
◽
Keyword(s):
2015 ◽
Vol 58
(4)
◽
pp. 741-756
◽
Keyword(s):
1971 ◽
Vol 4
(1)
◽
pp. 57-62
◽
Keyword(s):
Keyword(s):
1969 ◽
Vol 12
(4)
◽
pp. 417-426
◽
Keyword(s):
2010 ◽
Vol 433
(8-10)
◽
pp. 1536-1540
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