A Proof of Radford's Biproduct Theorem by Using Braided Diagrams

TL;DR

This paper provides a proof of Radford's Biproduct Theorem utilizing braided diagrams and specific diagrammatic tools, offering a visual and conceptual approach to the theorem in Hopf algebra theory.

Contribution

It introduces a novel proof method for Radford's Biproduct Theorem using braided diagrams, enhancing understanding through visual techniques.

Findings

Proof using Majid's braided diagrams method

Application of 't-angles.sty' package for diagrammatic clarity

Simplifies comprehension of Radford's Biproduct Theorem

Abstract

We give a proof of the Radford's Biproduct Theorem in S. Montgomery's book [Hopf Algebras and Their Actions on Rings, CBMS 82, AMS,1993.] by using Majid's braided diagrams method and Yu.Bespalov and V. Lyubashenko's "t-angles.sty" package.