Work

Smash Products of Multiplier Left Hopf Algebras

Year: 2026

Type: article

Abstract: Firstly, we define and study the notions of a smash product for actions of multiplier left Hopf algebras on algebras and of an integral on such smash products. Then we construct an analogue of Radford’s biproduct in the framework of multiplier left Hopf algebras under assumption of a multiplier left Hopf algebra having an anti-bialgebra homomorphic left antipode. Finally, we study a duality theorem for smash products of a left Hopf algebra of dimension n which is a special multiplier left Hopf algebra.

Source: Symmetry

DOI: 10.3390/sym18040695

Authors: Chunxiao Yan, Shuanhong Wang

Institutions: Southeast University, Shanghai Institute for Mathematics and Interdisciplinary Sciences

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China