Partial Smash Coproduct of Multiplier Hopf Algebras

TL;DR

This paper introduces partial (co)actions on multiplier Hopf algebras, constructs a partial smash coproduct generalizing previous work, and provides examples and properties of these structures.

Contribution

It defines partial (co)actions on multiplier Hopf algebras and generalizes the partial smash coproduct construction.

Findings

Established properties of partial (co)actions on multiplier Hopf algebras

Constructed a generalized partial smash coproduct

Provided examples illustrating the concepts

Abstract

In this work we define partial (co)actions on multiplier Hopf algebras, we also present examples and properties. From a partial comodule coalgebra we construct a partial smash coproduct generalizing the constructions made by the L. Delvaux, E. Batista and J. Vercruysse.