On the Galois correspondence theorem in separable Hopf Galois theory
نویسندگان
چکیده
منابع مشابه
On the Galois Correspondence Theorem in Separable Hopf Galois Theory
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 ...
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Let L be a field which is a Galois extension of the field K with Galois group G. Greither and Pareigis [GP87] showed that for many G there exist K-Hopf algebras H other than the group ring KG which make L into an H-Hopf Galois extension of K (or a Galois H∗object in the sense of Chase and Sweedler [CS69]). Using Galois descent they translated the problem of determining the Hopf Galois structure...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 2016
ISSN: 0214-1493
DOI: 10.5565/publmat_60116_08