On Dedekind domains in infinite algebraic extensions
Rendiconti del Seminario Matematico della Università di Padova, Tome 74 (1985), pp. 39-44. 
@article{RSMUP_1985__74__39_0,
     author = {Popescu, Nicolae and Vraciu, Constantin},
     title = {On {Dedekind} domains in infinite algebraic extensions},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {39--44},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {74},
     year = {1985},
     mrnumber = {818713},
     zbl = {0585.13008},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1985__74__39_0/}
}
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Popescu, Nicolae; Vraciu, Constantin. On Dedekind domains in infinite algebraic extensions. Rendiconti del Seminario Matematico della Università di Padova, Tome 74 (1985), pp. 39-44. http://www.numdam.org/item/RSMUP_1985__74__39_0/

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[2] W. Narkiewicz, Elementary and analytic theory of algebraic numbers, Warszawa, 1974. | MR | Zbl

[3] O.F.G. Schilling, The theory of valuations, A.M.S. Mathematical Surveys No. 4, 1950. | MR | Zbl