The Leibniz PROP is a Crossed Presimplicial Algebra

Murat Can Aşkaroğulları; Atabey Kaygun

doi:10.1007/s10485-025-09820-4

The Leibniz PROP is a Crossed Presimplicial Algebra

Murat Can Aşkaroğulları^*, Atabey Kaygun

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the Leibniz PROP is isomorphic as -linear categories (not as monoidal categories) to the symmetric crossed presimplicial algebra where is the skeletal category of finite well-ordered sets with surjections, but the distributive law between and the symmetric groups is not the standard one.

Original language	English
Article number	29
Journal	Applied Categorical Structures
Volume	33
Issue number	4
DOIs	https://doi.org/10.1007/s10485-025-09820-4
Publication status	Published - Aug 2025

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© The Author(s), under exclusive licence to Springer Nature B.V. 2025.

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abstract = "We prove that the Leibniz PROP is isomorphic as -linear categories (not as monoidal categories) to the symmetric crossed presimplicial algebra where is the skeletal category of finite well-ordered sets with surjections, but the distributive law between and the symmetric groups is not the standard one.",

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The Leibniz PROP is a Crossed Presimplicial Algebra

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