Name: Abstract Kleisli Structures on 2-categories
Creator: Miranda, Adrian
Keywords: 4. Education, FOS: Mathematics, Category Theory, Category Theory (math.CT)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object , Contribution for newspaper or weekly magazine 25 Sep 2025Embargo end date: 01 Jan 2024 English Publisher:Open Publishing AssociationJournal:Electronic Proceedings in Theoretical Computer Science, volume 429, pages 29-48 (eissn: 2075-2180,

Authors: Miranda, Adrian;

doi: 10.4204/eptcs.429.2 , 10.48550/arxiv.2404.00900

arXiv: 2404.00900

Abstract Kleisli Structures on 2-categories

- Summary
- Subjects
- External Databases
  (1)
- Metrics

Abstract

Fuhrmann introduced Abstract Kleisli structures to model call-by-value programming languages with side effects, and showed that they correspond to monads satisfying a certain equalising condition on the unit. We first extend this theory to non-strict morphisms of monads, and to incorporate 2-cells of monads. We then further extend this to a theory of abstract Kleisli structures on 2-categories, characterising when the original pseudomonad can be recovered by the abstract Kleisli structure on its 2-category of free-pseudoalgebras.

In Proceedings ACT 2024, arXiv:2509.18357

Related Organizations

University of Salford
United Kingdom

Keywords

FOS: Mathematics, Category Theory, Category Theory (math.CT)

1t2y

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average