| Title:
|
G-dimension over local homomorphisms with respect to a semi-dualizing complex (English) |
| Author:
|
Dejun, Wu |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
64 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
567-579 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex. Some results that track the behavior of Gorenstein properties over local ring homomorphisms under composition and decomposition are given. As an application, we characterize a dualizing complex for $R$ in terms of the finiteness of the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex. (English) |
| Keyword:
|
Cohen factorization |
| Keyword:
|
Gorenstein dimension |
| Keyword:
|
Gorenstein homomorphism |
| Keyword:
|
semi-dualizing complex |
| MSC:
|
13D02 |
| MSC:
|
13D05 |
| MSC:
|
13D07 |
| idZBL:
|
Zbl 06391512 |
| idMR:
|
MR3277754 |
| DOI:
|
10.1007/s10587-014-0119-4 |
| . |
| Date available:
|
2014-11-10T10:00:20Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144016 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
