Geodesic
Relative tilting modules with respect to a semidualizing module
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 781-800
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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.
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.
DOI : 10.21136/CMJ.2019.0510-17
Classification : 13D05, 13D45
Keywords: tilting module; semidualizing module; $C$-projective 
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Salimi, Maryam. Relative tilting modules with respect to a semidualizing module. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 781-800. doi: 10.21136/CMJ.2019.0510-17

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