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Corrigendum to “Mapping cones for morphisms involving a band complex in the bounded derived category of a gentle algebra” [J. Algebra 530 (2019) 163–194]
Journal of Algebra ( IF 0.9 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jalgebra.2020.08.005 İlke Çanakçı , David Pauksztello , Sibylle Schroll
Journal of Algebra ( IF 0.9 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jalgebra.2020.08.005 İlke Çanakçı , David Pauksztello , Sibylle Schroll
Abstract In this note we correct two oversights in Canakci 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.
中文翻译:
更正“映射锥体的态射涉及温和代数的有界派生类别中的带复数”[J. 代数 530 (2019) 163–194]
摘要 在这篇笔记中,我们更正了 Canakci 等人的两个疏忽。(2019) [6] 仅在涉及波段复合体时才会发生。因此,我们看到两个带复合体之间的态射的映射锥可以分解为任意多个不可分解的直接被加数。
更新日期:2021-03-01
中文翻译:
更正“映射锥体的态射涉及温和代数的有界派生类别中的带复数”[J. 代数 530 (2019) 163–194]
摘要 在这篇笔记中,我们更正了 Canakci 等人的两个疏忽。(2019) [6] 仅在涉及波段复合体时才会发生。因此,我们看到两个带复合体之间的态射的映射锥可以分解为任意多个不可分解的直接被加数。