Ding projective modules with respect to a semidualizing module

Authors

  • Chaoling Huang College of Mathematics and Statistics, Hubei Normal University, China Author
  • Peihua Zhong Department of Mathematics, Jiangxi Agricultural University, Nanchang 330045, China Author

Keywords:

semidualizing, DC-projective module, C-projective module

Subjects:

13B02, 13D05

Abstract

In this paper, for a fixed semidualizing module C, we introducethe notion of DC-projective modules which are the special settingof GC-projective modules introduced by White [D. White, Gorenstein projective dimension withrespect to a semidualizing module, J. Commut. Algebra 2(1) (2010) 111–137]. Then weinvestigate the properties of DC-projective modules anddimensions, in particular, we give descriptions of the finiteDC-projective dimensions.

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Published

2015-01-15