Multiplier bialgebras in braided monoidal categories

TL;DR

This paper introduces multiplier bimonoids in braided monoidal categories, demonstrating their structure and the existence of associated monoidal categories of comodules and modules, expanding the algebraic framework in category theory.

Contribution

It defines multiplier bimonoids in braided monoidal categories and shows they have monoidal categories of comodules and modules, elucidating their structural properties.

Findings

Multiplier bimonoids are defined in braided monoidal categories.

Monoidal categories of comodules and modules are established for these bimonoids.

The structures of the induced functors explain these properties.

Abstract

Multiplier bimonoids (or bialgebras) in arbitrary braided monoidal categories are defined. They are shown to possess monoidal categories of comodules and modules. These facts are explained by the structures carried by their induced functors.