2024-03-28T13:22:54Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:02001425
2023-04-05T00:49:32Z
697:698:699
n-exangulated categories (I): Definitions and fundamental properties
Herschend, Martin
Liu, Yu
Nakaoka, Hiroyuki
open access
© 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Triangulated category
Exact category
n-angulated category
n-exact category
For each positive integer n we introduce the notion of n-exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka–Palu. We characterize which n-exangulated categories are n-exact in the sense of Jasso and which are (n+2)-angulated in the sense of Geiss–Keller–Oppermann.
Elsevier
2023-03-15
2021-03-15
eng
journal article
AM
http://hdl.handle.net/2237/0002001425
https://nagoya.repo.nii.ac.jp/records/2001425
https://doi.org/10.1016/j.jalgebra.2020.11.017
0021-8693
Journal of Algebra
570
531
586
https://nagoya.repo.nii.ac.jp/record/2001425/files/nExAngulated_part_I_revised_2020_10_30.pdf
application/pdf
502 KB
2023-03-15