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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.
Received: 26.08.2022 Revised: 09.08.2023
Citation:
F. Castro, D. Freitas, A. Paques, G. Quadros, T. Tamusiunas, “Partial Hopf–Galois theory”, Algebra Logika, 61:5 (2022), 571–599
Linking options:
https://www.mathnet.ru/eng/al2730 https://www.mathnet.ru/eng/al/v61/i5/p571
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Abstract page: | 67 | Full-text PDF : | 18 | References: | 23 |
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