On the Galois correspondence theorem in separable Hopf Galois theory
Article Sidebar
Citacions a Google Acadèmic
Main Article Content
Teresa Crespo
Anna Rio
Montserrat Vela
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.
Paraules clau:
Hopf algebra, Hopf Galois theory, Galois correspondence
Article Details
Com citar
Crespo, Teresa et al. “On the Galois correspondence theorem in separable Hopf Galois theory”. Publicacions Matemàtiques, vol.VOL 60, no. 1, pp. 221-34, https://raco.cat/index.php/PublicacionsMatematiques/article/view/302248.
Articles més llegits del mateix autor/a
- Daniel Gil-Munoz, Anna Rio, Induced Hopf Galois structures and their local Hopf Galois modules , Publicacions Matemàtiques: Vol. 66 Núm. 1 (2022)