Partial Hopf-Galois theory
Felipe Castro, Daiane Freitas, Antonio Paques, Glauber Quadros, Tha\'isa Tamusiunas
TL;DR
This paper develops a partial Hopf-Galois theory for partial H-module algebras, extending classical results for Hopf algebras to a more general setting.
Contribution
It introduces a new framework for partial Hopf-Galois theory, broadening the scope of classical Hopf algebra results.
Findings
Established analogs of classical Hopf algebra results for partial H-module algebras.
Developed foundational concepts for partial Hopf-Galois extensions.
Extended the theory to encompass more general algebraic structures.
Abstract
We develop a partial Hopf-Galois theory for partial H-module algebras and we recover analogs of classical results for Hopf algebras.
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