Pith. sign in

REVIEW 1 cited by

$k$-linear Morita theory

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 2406.15895 v2 pith:XX4LZAFF submitted 2024-06-22 math.CT math.ACmath.AGmath.AT

Matteo Doni This is my paper · ORCID
classification math.CTmath.ACmath.AGmath.AT
keywords theoryinftylinearmoritacompletedg-categoriesidempotentstable
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

In this paper, we prove the standard comparison used by mathematicians between the idempotent complete pretriangulated dg-categories, over a unitary and commutative ring $k$, and the idempotent complete $k$-linear stable $\infty$-categories. Our approach is completely included in the $\infty$-categorical theory. To achieve the target we will reinterpret the Morita theory for dg-categories and we set the Morita theory for $k$-linear stable $\infty$-category.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Strong uniqueness of enhancements for the dual numbers: a case study

    math.AG 2025-05 conditional novelty 7.0 of 10

    The paper proves that the derived categories of modules over the dual numbers, in the bounded, bounded below, and strictly bounded ranges, and all derived categories of hereditary abelian categories, have strongly uni...

Pith tools