Journal of Jishou University(Natural Sciences Edition) ›› 2021, Vol. 42 ›› Issue (2): 1-4.DOI: 10.13438/j.cnki.jdzk.2021.02.001

• Mathematics •     Next Articles

Some Notes of DC-Projective Modules

HE Donglin, FAN Liang   

  1. (School of Mathematics and Information Science, Longnan Teachers' College, Longnan 742500, Gansu China)
  • Online:2021-03-25 Published:2021-08-29

Abstract: With methods of homological algebra, some properties of Ding-projective modules with respect to a semidualizing module C are investigated, and relationships between related classes of modules are given. It is proved that PC(R) is an injective cogenerator of DPC(R), where DPC(R) denotes the class of all DC-projective R-modules, and PC(R) denotes the class of all R-modules CRP with P projective module.

Key words: DC-projective modules, semidualizing, injective cogenerator

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