| Title:
|
Gorenstein projective complexes with respect to cotorsion pairs (English) |
| Author:
|
Zhao, Renyu |
| Author:
|
Ma, Pengju |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
117-129 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(\mathcal {A,B})$ be a complete and hereditary cotorsion pair in the category of left $R$-modules. In this paper, the so-called Gorenstein projective complexes with respect to the cotorsion pair $(\mathcal {A}, \mathcal {B})$ are introduced. We show that these complexes are just the complexes of Gorenstein projective modules with respect to the cotorsion pair $(\mathcal {A}, \mathcal {B})$. As an application, we prove that both the Gorenstein projective modules with respect to cotorsion pairs and the Gorenstein projective complexes with respect to cotorsion pairs possess stability. (English) |
| Keyword:
|
cotorsion pair |
| Keyword:
|
Gorenstein projective complex with respect to cotorsion pairs |
| Keyword:
|
stability of Gorenstein categories |
| MSC:
|
18G25 |
| MSC:
|
18G35 |
| idZBL:
|
Zbl 07088774 |
| idMR:
|
MR3923579 |
| DOI:
|
10.21136/CMJ.2018.0194-17 |
| . |
| Date available:
|
2019-03-08T14:57:58Z |
| Last updated:
|
2021-04-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147622 |
| . |
| Reference:
|
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| . |
