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Copyright of Educação Matemática Pesquisa is the property of Pontificia Universidade Catolica de Sao Paulo, Programa de Estudos Pos-Grad. em Educacao Matematica and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Let 𝒜 be a maximal order of a number field 𝒦. Various studies of the prime spectrum of the ring of integer-valued polynomials, ℰ = {P∈ 𝒦[X] | P(𝒜) ⊂ 𝒜}, show that ℰ is a Prüfer ring of Krull dimension 2. Here, we present elementary proofs of this theorem, claiming no use of prime ideals at all. Soit 𝒜 un ordre maximal d'un corps de nombres 𝒦. Différentes études du spectre premier de l'anneau de polynmes à valeurs entières, ℰ = {P∈ 𝒦[X] | P(𝒜) ⊂ 𝒜}, montrent que ℰ est un anneau de Prüfer de dimension de Krull 2. Nous en présentons ici des preuves élémentaires, ne réclamant aucune utilisation d'idéaux premiers. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Symbolic Logic is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)