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 |
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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