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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005))

İlke Çanakçı; David Pauksztello; Sibylle Schroll

doi:10.1016/j.jalgebra.2020.08.005

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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005))

İlke Çanakçı
, David Pauksztello^*
, Sibylle Schroll

^*Corresponding author for this work

Mathematics

Research output: Contribution to Journal › Comment / Letter to the editor › Academic

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
Pages (from-to)	856-874
Number of pages	19
Journal	Journal of Algebra
Volume	569
Early online date	2 Sept 2020
DOIs	https://doi.org/10.1016/j.jalgebra.2020.08.005
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

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Çanakçı, İ., Pauksztello, D., & Schroll, S. (2021). 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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005)). Journal of Algebra, 569, 856-874. https://doi.org/10.1016/j.jalgebra.2020.08.005

Çanakçı, İlke ; Pauksztello, David ; Schroll, Sibylle. / 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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005)). In: Journal of Algebra. 2021 ; Vol. 569. pp. 856-874.

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title = "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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005))",

abstract = "In this note we correct two oversights in {\c C}anak{\c c}i 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.",

keywords = "Bounded derived category, Gentle algebra, Homotopy string and band, Mapping cone, String combinatorics",

author = "İlke {\c C}anak{\c c}ı and David Pauksztello and Sibylle Schroll",

year = "2021",

month = mar,

day = "1",

doi = "10.1016/j.jalgebra.2020.08.005",

language = "English",

volume = "569",

pages = "856--874",

journal = "Journal of Algebra",

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Çanakçı, İ, Pauksztello, D & Schroll, S 2021, '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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005))', Journal of Algebra, vol. 569, pp. 856-874. https://doi.org/10.1016/j.jalgebra.2020.08.005

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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005)). / Çanakçı, İlke; Pauksztello, David; Schroll, Sibylle.
In: Journal of Algebra, Vol. 569, 01.03.2021, p. 856-874.

Research output: Contribution to Journal › Comment / Letter to the editor › Academic

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AU - Çanakçı, İlke

AU - Pauksztello, David

AU - Schroll, Sibylle

PY - 2021/3/1

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AB - 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.

KW - Bounded derived category

KW - Gentle algebra

KW - Homotopy string and band

KW - Mapping cone

KW - String combinatorics

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JF - Journal of Algebra

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Çanakçı İ, Pauksztello D, Schroll S. 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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005)). Journal of Algebra. 2021 Mar 1;569:856-874. Epub 2020 Sept 2. doi: 10.1016/j.jalgebra.2020.08.005

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 (2019) 530 (163–194), (S0021869319301863), (10.1016/j.jalgebra.2019.04.005))

Abstract

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Keywords

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