Dual modules and reflexive modules with respect to a semidualizing module
摘要
Let C be a semidualizing module over a commutative ring. We first investigate the properties of C-dual, C-torsionless and C-reflexive modules. Then we characterize some rings such as coherent rings, Π-coherent rings and FP-injectivity of C using C-dual, C-torsionless and C-reflexive properties of some special modules.