| Title:
|
Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness (English) |
| Author:
|
Kong, Fangdi |
| Author:
|
Wu, Dejun |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
3 |
| Year:
|
2018 |
| Pages:
|
741-754 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We define and study restricted projective, injective and flat dimensions over local homomorphisms. Some known results are generalized. As applications, we show that (almost) Cohen-Macaulay rings can be characterized by restricted homological dimensions over local homomorphisms. (English) |
| Keyword:
|
Cohen factorization |
| Keyword:
|
restricted homological dimension |
| Keyword:
|
Cohen-Macaulay ring |
| MSC:
|
13D02 |
| MSC:
|
13D05 |
| idZBL:
|
Zbl 06986969 |
| idMR:
|
MR3851888 |
| DOI:
|
10.21136/CMJ.2018.0638-16 |
| . |
| Date available:
|
2018-08-09T13:12:58Z |
| Last updated:
|
2020-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147365 |
| . |
| 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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| . |
