Relative tilting modules with respect to a semidualizing module

Maryam Salimi

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 3, page 781-800
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Salimi, Maryam. "Relative tilting modules with respect to a semidualizing module." Czechoslovak Mathematical Journal 69.3 (2019): 781-800. <http://eudml.org/doc/294681>.

@article{Salimi2019,
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.},
author = {Salimi, Maryam},
journal = {Czechoslovak Mathematical Journal},
keywords = {tilting module; semidualizing module; $C$-projective},
language = {eng},
number = {3},
pages = {781-800},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Relative tilting modules with respect to a semidualizing module},
url = {http://eudml.org/doc/294681},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Salimi, Maryam
TI - Relative tilting modules with respect to a semidualizing module
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 3
SP - 781
EP - 800
AB - 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.
LA - eng
KW - tilting module; semidualizing module; $C$-projective
UR - http://eudml.org/doc/294681
ER -

References

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