Czechoslovak Mathematical Journal, Vol. 69, No. 3, pp. 781-800, 2019
Relative tilting modules with respect to a semidualizing module
Received November 7, 2017. Published online February 6, 2019.
Abstract: Let $R$ be a commutative Noetherian ring, and let $C$ be a semidualizing $R$-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.