Pith. sign in

REVIEW 4 cited by

0-Auslander correspondence

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2306.15958 v2 pith:7HZGQIZ7 submitted 2023-06-28 math.RT math.CT

Xiaofa Chen This is my paper · ORCID
classification math.RTmath.CT
keywords auslandercorrespondenceanaloguecategoriescategoryexactgorsky--nakaoka--palunote
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this short note we prove an analogue of Auslander correspondence for exact dg categories whose $H^0$-category is $0$-Auslander in the sense of Gorsky--Nakaoka--Palu.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. From $(n+1)$-term subcategories to $(n+1)$-term complexes

    math.RT 2026-07 accept novelty 7.0 of 10

    An extriangulated functor from (n+1)-term subcategories to (n+1)-term complexes is constructed, with equivalent conditions for fullness yielding an extriangle equivalence and a mutation-compatible silting bijection.

  2. On the Auslander--Reiten Theory for Extended Hearts of Proper Connective DG Algebras

    math.RT 2025-05 conditional novelty 7.0 of 10

    Auslander-Reiten-Serre duality and almost-split conflations are established for extended hearts of proper connective dg algebras, together with a first Brauer-Thrall finiteness theorem.

  3. Extriangulated ideal quotients and $d$-Auslander categories

    math.RT 2026-07 accept novelty 6.0 of 10

    An algebraic d-Auslander extriangulated category satisfying a vanishing condition admits an extriangulated ideal quotient equivalent to a truncated homotopy category of complexes.

  4. From objects finitely presented by a rigid object in a triangulated category to 2-term complexes

    math.RT 2025-09 accept novelty 6.0 of 10

    For a rigid object M, the presentation functor P from pr(M) to 2-term complexes over End(M) is full, dense, detects extriangles, and induces a mutation-commuting bijection between basic relative cluster-tilting object...

Pith tools