Geodesic
An integral basis of algebraic fields
Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 229-234 
È. A. Sergeev. An integral basis of algebraic fields. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 229-234. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a6/
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     author = {\`E. A. Sergeev},
     title = {An integral basis of algebraic fields},
     journal = {Matemati\v{c}eskie zametki},
     pages = {229--234},
     year = {1973},
     volume = {13},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $A$ be a principal ideal domain, $K$ be the quotient field of $A$, and let $L$ be a cubic extension of $K$. In this paper we establish the existence of a special type of integral basis of the field $L$ over $K$ which is a generalization of the integral basis of Voronoi for cubic extensions of the field $Q$ of rational numbers.