Strongly Ding projective modules with respect to a semidualizing module

doi:10.13371/j.cnki.chin.q.j.m.2018.01.010

Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (1): 79-92.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.010

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Strongly Ding projective modules with respect to a semidualizing module

School of Mathematics and Physics, Anhui University of TechnologyInstitute of Mathematics, School of Mathematics Sciences, Nanjing Normal University

Received:2017-03-13 Online:2018-03-30 Published:2020-10-19
About author:ZHAO Liang(1978-), male, native of Zhangye, Gansu, an associate professor of Anhui University of Technology, Ph.D., engages in homological algebra and ring theory.
Supported by:
Supported by the Postdoctoral Science Foundation of China(2017M611851)； the Jiangsu Planned Projects for Postdoctoral Research Funds(1601151C)； the Provincial Natural Science Foundation of Anhui Province(KJ2017A040)；

Abstract

Abstract: This paper is a study of strongly Ding projective modules with respect to a semidualizing module. The class of strongly Ding flat modules with respect to a semidualizing module is also investigated, and the relationship between strongly Ding projective modules and strongly Ding flat modules with respect to a semidualizing module is characterized.Some well-known results on strongly Ding projective modules, n-strongly Ding projective modules and strongly D_C-projective modules are generalized and unified.

Key words: strongly DC-projective modules, strongly Ding projective modules, strongly DC-flat modules

CLC Number:

O153.3

ZHAO Liang. Strongly Ding projective modules with respect to a semidualizing module[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(1): 79-92.

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Strongly Ding projective modules with respect to a semidualizing module

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