| Title:
|
Strongly $\mathcal {W}$-Gorenstein modules (English) |
| Author:
|
Qiao, Husheng |
| Author:
|
Xie, Zongyang |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
2 |
| Year:
|
2013 |
| Pages:
|
441-449 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathcal {W}$ be a self-orthogonal class of left $R$-modules. We introduce a class of modules, which is called strongly $\mathcal {W}$-Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly $\mathcal {W}$-Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly $\mathcal {W}$-Gorenstein module can be inherited by its submodules and quotient modules. As applications, many known results are generalized. (English) |
| Keyword:
|
self-orthogonal class |
| Keyword:
|
strongly $\mathcal {W}$-Gorenstein module |
| Keyword:
|
$\mathcal {C}$-resolution |
| MSC:
|
16D40 |
| MSC:
|
16D50 |
| MSC:
|
16E05 |
| MSC:
|
16E65 |
| MSC:
|
18G20 |
| MSC:
|
18G25 |
| idZBL:
|
Zbl 06236422 |
| idMR:
|
MR3073969 |
| DOI:
|
10.1007/s10587-013-0028-y |
| . |
| Date available:
|
2013-07-18T14:59:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143323 |
| . |
| Reference:
|
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| . |
