arXiv:2001.06435 · 中英对照阅读
Addendum and Erratum: Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebraThanks: 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.
摘要
In this note we correct two oversights in [Mapping cones in the bounded derived category of a gentle algebra, J. Algebra 530 (2019), 163–194] 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.