Strongly Ding projective modules with respect to a semidualizing module

ZHAO Liang

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

Strongly Ding projective modules with respect to a semidualizing module

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

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.

Received date: 2017-03-13

Online published: 2020-10-19

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)；

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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

Cite this article

ZHAO Liang . Strongly Ding projective modules with respect to a semidualizing module[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(1) : 79 -92 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.01.010

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