论文标题

附录和勘误:用于形态的映射锥,涉及温和代数的有限派生类别中的频带复合物

Addendum and Erratum: Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra

论文作者

Canakci, Ilke, Pauksztello, David, Schroll, Sibylle

论文摘要

在本说明中,我们纠正了[在限制的派生类别中的映射锥中的两个疏忽,J。Algebra 530(2019),163--194,也是Arxiv:1609.09688],仅在涉及频带复合物的情况下才会发生。结果,我们看到两个频段复合物之间形态的映射锥可以将任意地分解为许多不可分解的直接汇总。

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, also arXiv:1609.09688] 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.

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