English

Another characterization of no-iteration distributive laws

Category Theory 2020-03-31 v2

Abstract

We provide a characterization of no-iteration distributive laws in terms of its monads in extensive form only. To do that, it is necessary to take account of both right and left extension systems. We also give, in this right-left perspective, characterizations of the 1-cells and 2-cells in EM(K)\mathbf{EM}(K) and Kl(K)\mathbf{Kl}(K).

Cite

@article{arxiv.1910.06531,
  title  = {Another characterization of no-iteration distributive laws},
  author = {Enrique Ruiz Hernández},
  journal= {arXiv preprint arXiv:1910.06531},
  year   = {2020}
}

Comments

21 pages; explicit form added for the case $K=\mathbf{Cat}$ in last observation

R2 v1 2026-06-23T11:43:45.611Z