| Title:
|
Some results on $G_C$-flat dimension of modules (English) |
| Author:
|
Udhayakumar, Ramalingam |
| Author:
|
Muchtadi-Alamsyah, Intan |
| Author:
|
Selvaraj, Chelliah |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
187-198 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we study some properties of $G_C$-flat $R$-modules, where $C$ is a semidualizing module over a commutative ring $R$ and we investigate the relation between the $G_C$-yoke with the $C$-yoke of a module as well as the relation between the $G_C$-flat resolution and the flat resolution of a module over $GF$-closed rings. We also obtain a criterion for computing the $G_C$-flat dimension of modules. (English) |
| Keyword:
|
$GF$-closed ring |
| Keyword:
|
$G_C$-flat module |
| Keyword:
|
$G_C$-flat dimension |
| Keyword:
|
semidualizing module |
| MSC:
|
18G20 |
| MSC:
|
18G25 |
| idZBL:
|
Zbl 07144887 |
| idMR:
|
MR3982466 |
| DOI:
|
10.14712/1213-7243.2019.007 |
| . |
| Date available:
|
2019-08-05T09:44:42Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147820 |
| . |
| Reference:
|
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| . |
