Let
$${\cal C}$$
be a Krull–Schmidt n-exangulated category and
$${\cal A}$$
be an n-extension closed subcategory of
$${\cal C}$$
. Then
$${\cal A}$$
inherits the n-exangulated structure from the given n-exangulated category in a natural way. This construction gives n-exangulated categories which are neither n-exact categories in the sense of Jasso nor (n + 2)-angulated categories in the sense of Geiss–Keller–Oppermann in general. Furthermore, we also give a sufficient condition on when an n-exangul...
