Let ( \(\mathscr{C},\mathbb{E},\mathfrak{s}\) ) be an n-exangulated category with enough projectives and enough injectives, and \(\mathscr{X}\) be a cluster-tilting subcategory of \(\mathscr{C}\) . Liu and Zhou have shown that the quotient category \(\mathscr{C}/\mathscr{X}\) is an n-abelian category. In this paper, we prove that if \(\mathscr{C}\) has Auslander–Reiten n-exangles, then \(\mathscr{C}/\mathscr{X}\) has Auslander–Reiten n-exact sequences. Moreover, we also show that if a Frobenius n-exangulated category \(\mathscr{C}\) has Auslander–Reiten n-exangles, then the stable category \(\overline{\mathscr{C}}\) of \(\mathscr{C}\) has Auslander–Reiten (n + 2)-angles.
