Relative Tilting Modules with Respect to a Semidualizing Module

被引:0
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作者
Maryam Salimi
机构
[1] Islamic Azad University,Department of Mathematics, East Tehran Branch
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关键词
tilting module; semidualizing module; -projective; 13D05; 13D45;
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学科分类号
摘要
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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页码:781 / 800
页数:19
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