作者
Ryo Takahashi, Diana White
发表日期
2010/1/1
期刊
Mathematica Scandinavica
页码范围
5-22
出版商
DANSK MATEMATISK FORENING/ÍSLENZKA STÆRÐFRÆÐAFÉLAGIÐ/NORSK MATEMATISK FORENING
简介
We investigate the notion of the C-projective dimension of a module, where C is a semidualizing module. When C = R, this recovers the standard projective dimension. We show that three natural definitions of finite C-projective dimension agree, and investigate the relationship between relative cohomology modules and absolute cohomology modules in this setting. Finally, we prove several results that demonstrate the deep connections between modules of finite projective dimension and modules of finite C-projective dimension. In parallel, we develop the dual theory for injective dimension and C-injective dimension.
学术搜索中的文章
R Takahashi, D White - Mathematica Scandinavica, 2010