Work

Blattner–Montgomery’s Duality-Type Theorem for Hopf Coquasigroups

Year: 2026

Type: article

Abstract: In this paper, we mainly prove an analogue of Blattner–Montgomery’s duality-type theorem (A⋊H)#H^≅A⊗(H#H^) in the setting of an infinite-dimensional Hopf quasigroup H with a left integral, where A⋊H is the smash product for a left H-quasimodule algebra A. In particular, let A be a left H-module algebra over an infinite dimensional coFrobenius Hopf algebra H. Then, we obtain a new result (A#H)#H^≅A⊗(H#H^) in the setting of Hopf algebras as a corollary of our main result.

Source: Mathematics

DOI: 10.3390/math14183267

Authors: Huaiwen Guo, Shuanhong Wang

Institutions: Shandong Women’s University, Southeast University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China