相对于半对偶化模的强Ding-投射模

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (1): 79-92.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.010

相对于半对偶化模的强Ding-投射模

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

收稿日期:2017-03-13 出版日期:2018-03-30 发布日期:2020-10-19
作者简介: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.
基金资助:
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)；

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)；

摘要/Abstract

摘要： 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.

关键词: strongly DC-projective modules, strongly Ding projective modules, strongly DC-flat modules

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

中图分类号:

O153.3

赵良. 相对于半对偶化模的强Ding-投射模[J]. 数学季刊, 2018, 33(1): 79-92.

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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相对于半对偶化模的强Ding-投射模

Strongly Ding projective modules with respect to a semidualizing module

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