English

Discrete Lawvere theories and monads

Category Theory 2026-01-28 v1

Abstract

We show that, under certain assumptions, strongly finitary enriched monads are given by discrete enriched Lawvere theories. On the other hand, monads given by discrete enriched Lawvere theories preserve surjections.

Keywords

Cite

@article{arxiv.2411.02841,
  title  = {Discrete Lawvere theories and monads},
  author = {Jiří Rosický},
  journal= {arXiv preprint arXiv:2411.02841},
  year   = {2026}
}

Comments

7 pages