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Bull. Korean Math. Soc. 2014; 51(2): 339-356

Printed March 31, 2014

https://doi.org/10.4134/BKMS.2014.51.2.339

Copyright © The Korean Mathematical Society.

Ding projective modules with respect to a semidualizing module

Chunxia Zhang, Limin Wang, and Zhongkui Liu

Northwest Normal University, Northwest Normal University, Northwest Normal University

Abstract

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In this paper, we introduce and discuss the notion of $D_{C}$-projective modules over commutative rings, where $C$ is a semidualizing module. This extends Gillespie and Ding, Mao's notion of Ding projective modules. The properties of $D_{C}$-projective dimensions are also given.

Keywords: semidualizing modules, $D_{C}$-projective modules, $D_{C}$-projective dimensions, $G_{C}$-projective modules

MSC numbers: 16E05, 16E65, 18G20, 18G25

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