Geodesic
The Elementary Theory of Algebraic Fields of Finite Corank.
Inventiones mathematicae, Tome 30 (1975), pp. 275-294.

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@article{IM_1975__30_142351,
     author = {Moshe Jarden and Ursel Kiehne},
     title = {The {Elementary} {Theory} of {Algebraic} {Fields} of {Finite} {Corank.}},
     journal = {Inventiones mathematicae},
     pages = {275--294},
     publisher = {mathdoc},
     volume = {30},
     year = {1975},
     zbl = {0315.12107},
     url = {http://geodesic.mathdoc.fr/item/IM_1975__30_142351/}
}
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Moshe Jarden; Ursel Kiehne. The Elementary Theory of Algebraic Fields of Finite Corank.. Inventiones mathematicae, Tome 30 (1975), pp. 275-294. http://geodesic.mathdoc.fr/item/IM_1975__30_142351/