D_(C)-投射模的若干注记

Some Notes of D_(C)-Projective Modules

利用同调代数的方法,研究了关于半对偶模C的Ding-投射模的若干性质,给出了相关模类之间的联系,并证明了P_(C)(R)是DP_(C)(R)的内射余生成子,其中DP_(C)(R)表示所有D_(C)-投射R模组成的类,P_(C)(R)表示所有形如C■RP(P为投射模)的R模组成的类.

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 P_(C)(R)is an injective cogenerator of DP_(C)(R),where DP_(C)(R)denotes the class of all D_(C)-projective R-modules,and P_(C)(R)denotes the class of all R-modules C■RP with P projective module.