Geodesic
Integral closure of a valuation ring in a finite extension
Algebra i logika, Tome 52 (2013) no. 1, pp. 84-91

Voir la notice de l'article provenant de la source Math-Net.Ru

The main result of the paper is THEOREM 1. If a minimal polynomial $f$ for $\theta$ over $F$ is $v$-separable, then there exists a nonzero element $\pi\in R$ such that $\pi S\le R[\theta]$.
Keywords: valued field, $v$-separable polynomial.
Mots-clés : minimal polynomial 
@article{AL_2013_52_1_a5,
     author = {Yu. L. Ershov},
     title = {Integral closure of a~valuation ring in a~finite extension},
     journal = {Algebra i logika},
     pages = {84--91},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2013_52_1_a5/}
}
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Yu. L. Ershov. Integral closure of a valuation ring in a finite extension. Algebra i logika, Tome 52 (2013) no. 1, pp. 84-91. http://geodesic.mathdoc.fr/item/AL_2013_52_1_a5/