| Title:
|
Relative tilting modules with respect to a semidualizing module (English) |
| Author:
|
Salimi, Maryam |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
3 |
| Year:
|
2019 |
| Pages:
|
781-800 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
tilting module |
| Keyword:
|
semidualizing module |
| Keyword:
|
$C$-projective |
| MSC:
|
13D05 |
| MSC:
|
13D45 |
| idZBL:
|
Zbl 07088816 |
| idMR:
|
MR3989278 |
| DOI:
|
10.21136/CMJ.2019.0510-17 |
| . |
| Date available:
|
2019-07-24T11:19:03Z |
| Last updated:
|
2021-10-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147789 |
| . |
| Reference:
|
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