Coreflexive modules and semidualizing modules with finite projective dimension
Let \(R\) and \(S\) be two rings, and let \(_R\omega_S\) be a semidualizing bimodule. For a subclass \(\mathcal{T}\) of the class of \(\omega\)-coreflexive modules, the authors introduce and study some objects called modules of \(\omega-\mathcal{T}\)- class \(n\), where \(n\) is a positive integer. These are used to provide information about the projective dimension of \(\omega\) as an \(R\)-module and as an \(S\)-module.
modules of \(\omega\)-\(\mathcal{T}\)-class \(n\)
(adjoint) \(\omega\)-coreflexive modules
(adjoint) \(\omega\)-cotorsionless modules
(adjoint) \(n\)-\(\omega\)-cospherical modules
scientific article; zbMATH DE number 6871370
scientific article