Algebra Logika, 2022 Volume 61, Number 5, Pages 571–599
(Mi al2730)
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Partial Hopf–Galois theory
F. Castroa,
D. Freitasb,
A. Paquesc,
G. Quadrosd,
T. Tamusiunasc a Dep. Matem., Univ. Federal de Santa Catarina, BRAZIL
b Dep. Matem., Univ. Federal do Rio Grande, BRAZIL
c Dep. Matem. Pura e Aplicada, Univ. Federal do Rio Grande do Sul, BRAZIL
d Coordenação Acadêmica, Univ. Federal de Santa Maria, BRAZIL
Abstract:
A partial Hopf–Galois theory is developed for partial
$H$-module algebras, and we recover analogs of classical results for Hopf algebras.
Keywords:
Hopf–Galois theory, partial action, Hopf algebra, Frobenius extension.
UDC:
512.552 Received: 26.08.2022
Revised: 09.08.2023
DOI:
10.33048/alglog.2022.61.504
© , 2024
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