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Modules Which Are Lifting Relative To Module Classes

  • Received : 2006.07.24
  • Published : 2008.03.31

Abstract

In this paper, we study a module which is lifting and supplemented relative to a module class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules and X-supplemented modules. Several properties of these modules are proved. We also obtain results for the case of specific classes of modules.

Keywords

References

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Cited by

  1. Direct Sums of Hollow-lifting Modules vol.19, pp.01, 2012, https://doi.org/10.1142/S1005386712000065