Quantale-Enriched Multicategories Via Actions

TL;DR

This paper extends the classical relationship between cocomplete quantale-enriched categories and modules over a quantale to the broader context of quantale-enriched multicategories, providing new theoretical insights.

Contribution

It establishes a new correspondence between cocomplete quantale-enriched multicategories and modules over a quantale, generalizing previous results.

Findings

Generalization of classical results to multicategories

New theoretical framework for quantale-enriched structures

Enhanced understanding of modules over quantales

Abstract

In this communication, motivated by a classical result that relates cocomplete quantale-enriched categories to modules over a quantale, we prove a similar result for quantale-enriched multicategories.