On the Galois correspondence theorem in separable Hopf Galois theory

dc.contributor.author
Crespo Vicente, Teresa
dc.contributor.author
Rio, Anna
dc.contributor.author
Vela del Olmo, Ma. Montserrat
dc.date.issued
2019-04-26T08:00:11Z
dc.date.issued
2019-04-26T08:00:11Z
dc.date.issued
2016
dc.date.issued
2019-04-26T08:00:11Z
dc.identifier
0214-1493
dc.identifier
https://hdl.handle.net/2445/132418
dc.identifier
657011
dc.description.abstract
In this paper we present a reformulation of the Galois correspondence theorem of Hopf Galois theory in terms of groups carrying farther the description of Greither and Pareigis. We prove that the class of Hopf Galois extensions for which the Galois correspondence is bijective is larger than the class of almost classically Galois extensions but not equal to the whole class. We show as well that the image of the Galois correspondence does not determine the Hopf Galois structure.
dc.format
14 p.
dc.format
application/pdf
dc.format
application/pdf
dc.language
eng
dc.publisher
Universitat Autònoma de Barcelona
dc.relation
Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT_60116_08
dc.relation
Publicacions Matemàtiques, 2016, vol. 60 , num. 1, p. 221-234
dc.relation
https://doi.org/10.5565/PUBLMAT_60116_08
dc.rights
(c) Universitat Autònoma de Barcelona, 2016
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Teoria de Galois
dc.subject
Àlgebres de Hopf
dc.subject
Galois theory
dc.subject
Hopf algebras
dc.title
On the Galois correspondence theorem in separable Hopf Galois theory
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion


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