Geodesic
The Faddeev–Hasse compatibility condition in the field embedding problem
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 259-272 Cet article a éte moissonné depuis la source Math-Net.Ru

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The compatibility condition is an important condition for the solvability of the embedding problem. In the present paper, this condition is reduced to a considerably simple situation. New results and the history of the problem are given. 
@article{ZNSL_2000_272_a15,
     author = {B. B. Lur'e},
     title = {The {Faddeev{\textendash}Hasse} compatibility condition in the field embedding problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {259--272},
     year = {2000},
     volume = {272},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a15/}
}
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B. B. Lur'e. The Faddeev–Hasse compatibility condition in the field embedding problem. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 259-272. http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a15/