@article{oai:nagoya.repo.nii.ac.jp:02001425, author = {Herschend, Martin and Liu, Yu and Nakaoka, Hiroyuki}, journal = {Journal of Algebra}, month = {Mar}, note = {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.}, pages = {531--586}, title = {n-exangulated categories (I): Definitions and fundamental properties}, volume = {570}, year = {2021} }