| Title:
|
On $n$-exact categories (English) |
| Author:
|
Manjra, Said |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
1089-1099 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An $n$-exact category is a pair consisting of an additive category and a class of sequences with $n+2$ terms satisfying certain axioms. We introduce $n$-weakly idempotent complete categories. Then we prove that an additive $n$-weakly idempotent complete category together with the class $\mathcal {C}_n$ of all contractible sequences with $n+2$ terms is an $n$-exact category. Some properties of the class $\mathcal {C}_n$ are also discussed. (English) |
| Keyword:
|
$n$-exact category |
| Keyword:
|
contractible sequence |
| Keyword:
|
idempotent complete category |
| MSC:
|
18E10 |
| MSC:
|
18E99 |
| idZBL:
|
07144878 |
| idMR:
|
MR4039623 |
| DOI:
|
10.21136/CMJ.2019.0067-18 |
| . |
| Date available:
|
2019-11-28T08:52:18Z |
| Last updated:
|
2022-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147917 |
| . |
| Reference:
|
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| . |
