2004•Journal of MathematicsRequires access

THE TWISTED SMASH BIPRODUCT

Zhu Jia-gui

Abstract

Let H be a bialgebra, and A an Hbimodule algebra and a left Hcomodule coalgebra. In this paper we construct a new algebra A×H, twisted Smash biproduct, and generalizes the twisted Smash product and the Smash biproduct. Suffcient and necessary conditions for A×H to be a bialgebra are given. In addition, we characterize the construction of A×H by using the mapping system and also consider its dual situation.

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Key concepts: Bialgebra, Mathematics, Coalgebra, Algebra over a field, Construct (python library), Pure mathematics, Product (mathematics), Dual (grammatical number)