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Czechoslovak Mathematical Journal, Vol. 69, No. 3, pp. 781-800, 2019

Relative tilting modules with respect to a semidualizing module

Maryam Salimi

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.
Keywords:  tilting module; semidualizing module; $C$-projective
Classification MSC:  13D05, 13D45
DOI:  10.21136/CMJ.2019.0510-17
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Affiliations:   Maryam Salimi, Department of Mathematics, East Tehran Branch, Islamic Azad University, Tehran, Iran, e-mail: maryamsalimi@ipm.ir
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