Abstract
For any category with a distinguished collection of sequences, such as n-exangulated category, category of N-complexes and category of precomplexes, we consider its Grothendieck group and similar results of Bergh-Thaule for n-angulated categories [1] are proven. A classification result of dense complete subcategories is given and we give a formal definition of K-groups for these categories following Grayson's algebraic approach of K-theory for exact categories [4].
| Original language | English |
|---|---|
| Pages (from-to) | 171-192 |
| Number of pages | 22 |
| Journal | Journal of the Korean Mathematical Society |
| Volume | 59 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2022 |
| Externally published | Yes |
Keywords
- Grothendieck group
- K-group
- N-sequence