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Strongly Ding projective modules with respect to a semidualizing module

Strongly Ding projective modules with respect to a semidualizing module
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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. 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 DC-projective modules are generalized and unified.
作者 ZHAO Liang
机构地区 School of Mathematics and Physics Institute of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 2018年第1期79-92,共14页 数学季刊（英文版）
基金 Supported by the Postdoctoral Science Foundation of China（2017M611851）, the Jiangsu Planned Projects for Postdoctoral Research Funds（1601151C） and the Provincial Natural Science Foundation of Anhui Province（KJ2017A040）
关键词 模块 钟声 射影 strongly Dc-projective modules strongly Ding projective modules strongly De-fiat modules
分类号 TP311.13 [自动化与计算机技术—计算机软件与理论] O185.1 [理学—基础数学]
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  • 1ANDERSON F W, FULLER K R. Rings and Categories of Modules [M]. Springer-Verlag, New York, 1992.
  • 2GREENBERG B V, VASCONCELOS W V. Coherence of Polynomial rings [J]. Proc. Amer. Math. Soc., 1976, 54: 59--64.
  • 3BENNIS D, MAHDOU N. GlobaJ Gorenstein dimensions of polynomiaJ rings and of direct products of rings [J]. Houston J. Math., 2009, 35(4): 1019-1028.
  • 4BENNIS D, MAHDOU N. Global Gorenstein Dimensions [J]. Proc. Amer. Math. Soc., 2010, 138(2): 461~165.
  • 5HOLM H. Gorenstein homological dimensions [J]. J. Pure Appl. Algebra, 2004, 189(1): 167-193.
  • 6CARTAN H, EILENBERG S. Homolo~:ical Alz:ebra [M]. Princeton University Press, Princeton, N J, 1999.
  • 7CHRISTENSEN L W. Gorenstein Dimensions [M]. Springer-Verlag, Berlin, 2000.
  • 8DING Nanqing, LI Yuanlin, MAO Lixin. Strongly Gorenstein fiat modules [J]. J. Aust. Math. Soc., 2009, 86(3): 323-338.
  • 9SMITH P F. Injective modules and prime ideals [J]. Comm. Algebra, 1981, 9(9): 989--999.
  • 10GLAZ S. Commutative Coherent Rings [M]. Springer-Verlag, Berlin, 1989.

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Chinese Quarterly Journal of Mathematics
2018年 第1期

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