Construction d'op\'erades ensemblistes \`a partir de mono\"ides

TL;DR

This paper introduces a functorial method to construct set-operads from monoids, providing new combinatorial tools and examples for algebraic and categorical applications.

Contribution

It presents a novel functorial construction linking monoids to set-operads, expanding the algebraic framework and offering practical combinatorial applications.

Findings

New functorial construction from monoids to set-operads

Several combinatorial examples demonstrating applications

Enhanced understanding of operad structures derived from monoids

Abstract

We study a functorial construction from the category of monoids to the category of set-operads and we give some combinatorial examples of applications.