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Algebra i logika, 2022, Volume 61, Number 5, Pages 571–599
DOI: https://doi.org/10.33048/alglog.2022.61.504
(Mi al2730)
 

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
References:
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.
Received: 26.08.2022
Revised: 09.08.2023
Document Type: Article
UDC: 512.552
Language: Russian
Citation: F. Castro, D. Freitas, A. Paques, G. Quadros, T. Tamusiunas, “Partial Hopf–Galois theory”, Algebra Logika, 61:5 (2022), 571–599
Citation in format AMSBIB
\Bibitem{CasFrePaq22}
\by F.~Castro, D.~Freitas, A.~Paques, G.~Quadros, T.~Tamusiunas
\paper Partial Hopf--Galois theory
\jour Algebra Logika
\yr 2022
\vol 61
\issue 5
\pages 571--599
\mathnet{http://mi.mathnet.ru/al2730}
\crossref{https://doi.org/10.33048/alglog.2022.61.504}
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