| Title:
|
$n$-${\rm gr}$-coherent rings and Gorenstein graded modules (English) |
| Author:
|
Amini, Mostafa |
| Author:
|
Bennis, Driss |
| Author:
|
Mamdouhi, Soumia |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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72 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
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125-148 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $R$ be a graded ring and $n\geq 1$ be an integer. We introduce and study the notions of Gorenstein $n$-FP-gr-injective and Gorenstein $n$-gr-flat modules by using the notion of special finitely presented graded modules. On $n$-gr-coherent rings, we investigate the relationships between Gorenstein $n$-FP-gr-injective and Gorenstein $n$-gr-flat modules. Among other results, we prove that any graded module in $R$-gr (or gr-$R$) admits a Gorenstein $n$-FP-gr-injective (or Gorenstein $n$-gr-flat) cover and preenvelope, respectively. (English) |
| Keyword:
|
$n$-gr-coherent ring |
| Keyword:
|
Gorenstein $n$-FP-gr-injective module |
| Keyword:
|
Gorenstein $n$-gr-flat module |
| Keyword:
|
cover |
| Keyword:
|
(pre)envelope |
| MSC:
|
16D40 |
| MSC:
|
16D50 |
| MSC:
|
16E30 |
| MSC:
|
16W50 |
| idZBL:
|
Zbl 07511557 |
| idMR:
|
MR4389110 |
| DOI:
|
10.21136/CMJ.2021.0359-20 |
| . |
| Date available:
|
2022-03-25T08:27:52Z |
| Last updated:
|
2024-04-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149577 |
| . |
| Reference:
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