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.
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Salimi, M. Relative Tilting Modules with Respect to a Semidualizing Module. Czech Math J 69, 781–800 (2019). https://doi.org/10.21136/CMJ.2019.0510-17
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DOI: https://doi.org/10.21136/CMJ.2019.0510-17