## Coreflexive modules and semidualizing modules with finite projective dimension.(English)Zbl 1401.18037

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.

### MSC:

 18G25 Relative homological algebra, projective classes (category-theoretic aspects) 16E10 Homological dimension in associative algebras 16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras
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### References:

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