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Relative Tilting Modules with Respect to a Semidualizing Module

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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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Authors and Affiliations

  1. Department of Mathematics, East Tehran Branch, Islamic Azad University, Tehran, Iran

    Maryam Salimi

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  1. Maryam Salimi
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Correspondence to Maryam Salimi.

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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

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