Presentations of Pseudodistributive Laws

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Authors

WALKER Charles Robert

Year of publication 2025
Type Article in Periodical
Magazine / Source Applied Categorical Structures
MU Faculty or unit

Faculty of Science

Citation
web https://doi.org/10.1007/s10485-024-09798-5
Doi http://dx.doi.org/10.1007/s10485-024-09798-5
Keywords Pseudodistributive laws; No-iteration; Pseudomonads; Warpings
Description By considering the situation in which the involved pseudomonads are presented in no-iteration form, we deduce a number of alternative presentations of pseudodistributive laws including a "decagon" form, a pseudoalgebra form, a no-iteration form, and a warping form. As an application, we show that five coherence axioms suffice in the usual monoidal definition of a pseudodistributive law.
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