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math.RA2025
A class of twisted partial Hopf actions
Chen Quanguo
In this paper, we will introduce a novel method for constructing numerous examples of twisted partial Hopf actions. Utilizing split quaternions, split semi-quaternions, and ${1\ove…
math.RA2025
A Note on Weak Post-Hopf Algebra Structures on the Sweedler Hopf Algebra
Chen Quanguo
By omitting the unitary constraint from the definition of weak post-Hopf algebras, we introduce the concept of relaxed weak post-Hopf algebras, offering a thorough characterization…
math.RA2024
Weak Hopf algebra structures on hybrid numbers
Tang Jiangang, Chen Quanguo
Let be the set of hybrid numbers. This paper is to look for all the weak Hopf structures on . Once is endowed with a structure of a weak Hopf…