Abstract
Let R be a commutative ring with identity. In this paper, w∞-projective modules are introduced and studied. It is shown that every R-module has a special w∞-projective precover. As an application, it is proved that a domain R is a Krull domain if and only if every submodule of a w∞-projective R-module is w∞-projective. And we show that for any Krull domain R with
where
denotes the class of all strong w-modules and
denotes the class of
-torsionfree R-modules N with the property that
for all w-projective R-modules M and all integers
Acknowledgments
The authors would like to thank the referee for the helpful comments and suggestions which substantially improved the paper.