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, $D_C$-projective module, $C$-projective module

Subjects:

13B02, 13D05

Abstract

In this paper, for a fixed semidualizing module $C$, we introducethe notion of $D_C$-projective modules which are the special settingof $G_C$-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 $D_C$-projective modules anddimensions, in particular, we give descriptions of the finite$D_C$-projective dimensions.

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Published

2015-01-15

Issue

Vol. 67 No. 1 (2015): Vol. 67, Issue 1

Section

Articles

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Copyright (c) 2015 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.