Geodesic
A simple example of extensions without an integral basis
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 341-344

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A series of examples of quadratic extensions of number fields without an integral basis is given. 
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     author = {V. M. Tsvetkov},
     title = {A simple example of extensions without an integral basis},
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V. M. Tsvetkov. A simple example of extensions without an integral basis. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 341-344. http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a21/