# Entwining Structures in Monoidal Catrgories

## TL;DR

This paper generalizes the concept of entwining structures and modules within monoidal categories using distributive law formalism, extending their basic properties beyond traditional settings.

## Contribution

It introduces a formalism to extend entwining modules to arbitrary monoidal categories, broadening their theoretical framework.

## Key findings

- Generalization of entwining structures to monoidal categories
- Extension of basic properties of entwining modules
- Use of distributive law formalism in this context

## Abstract

Interpreting entwining structures as special instances of J. Beck's distributive law, the concept of entwining module can be generalized for the setting of arbitrary monoidal category. In this paper, we use the distributive law formalism to extend in this setting basic properties of entwining modules.