Extriangulated ideal quotients and d-Auslander categories

@misc{silberberg2026extriangulated,
  title = {{Extriangulated ideal quotients and $d$-Auslander categories}},
  author = {Lior Silberberg},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.07211},
  eprint = {2607.07211},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.07211},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Extriangulated ideal quotients and d-Auslander categories
AU  - Lior Silberberg
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2607.07211
UR  - https://arxiv.org/abs/2607.07211
AB  - Building on recent studies of 0-Auslander categories, we establish a connection between d-Auslander extriangulated categories and categories of (d+2)-term complexes up to homotopy. We give a precise homological condition under which an algebraic extriangulated category admits an extriangulated ideal quotient equivalent to 𝒦^[−d−1,0](𝒜). We then demonstrate that d-cluster-tilting subcategories in triangulated categories serve as a key source of d-Auslander extriangulated categories. Using these structural results, we answer a question posed by Iyama in the Appendix of arXiv:2509.08246 by proving that 𝒦^[−d−1,0](𝒩) admits a triangulated structure when 𝒩 is a weakly idempotent complete algebraic (d+4)-angulated category.
ER  -