Pith. sign in

REVIEW 2 cited by

A constructive approach to Freyd categories

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 1712.03492 v1 pith:YBZP67N5 submitted 2017-12-10 math.CT math.RA

Sebastian Posur This is my paper · ORCID
classification math.CTmath.RA
keywords approachcategoriesconstructivefinitelyfreydpresentedalgebraalgorithmic
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

In this paper we give an algorithmic description of Freyd categories that subsumes and enhances the usual approach to finitely presented modules in computer algebra. The upshot is a constructive approach to finitely presented functors that only relies on a few basic algorithms.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Tensor products of finitely presented functors

    math.CT 2019-08 accept novelty 6.0 of 10

    Finitely presented promonoidal structures on an additive category extend uniquely to right exact monoidal structures on the associated Freyd category, equivalently on finitely presented functors.

  2. Methods of constructive category theory

    math.CT 2019-08 conditional novelty 4.0 of 10

    Using Freyd categories and generalized morphisms, the paper gives explicit algorithms for computing natural transformations between finitely presented functors and for constructing spectral sequence differentials in a...

Pith tools