Abstract
In this note we correct two oversights in Çanakçi et al. (2019) [6] which only occur when a band complex is involved. As a consequence we see that the mapping cone of a morphism between two band complexes can decompose into arbitrarily many indecomposable direct summands.
Original language | English |
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Pages (from-to) | 856-874 |
Number of pages | 19 |
Journal | Journal of Algebra |
Volume | 569 |
Early online date | 2 Sept 2020 |
DOIs |
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Publication status | Published - 1 Mar 2021 |
Funding
This work has been supported through the EPSRC grant EP/P016014/1 for the first named author and the EPSRC Early Career Fellowship EP/P016294/1 for the third named author.
Keywords
- Bounded derived category
- Gentle algebra
- Homotopy string and band
- Mapping cone
- String combinatorics