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Keywords:
tilting module; semidualizing module; $C$-projective
tilting module; semidualizing module; $C$-projective
Summary:
Let $R$ be a commutative Noetherian ring, and let $C$ be a semidualizing \hbox {$R$-module}. The notion of $C$-tilting $R$-modules is introduced as the relative setting of the notion of tilting $R$-modules with respect to $C$. Some properties of tilting and $C$-tilting modules and the relations between them are mentioned. It is shown that every finitely generated $C$-tilting $R$-module is $C$-projective. Finally, we investigate some kernel subcategories related to $C$-tilting modules.
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