When is Z⁢α seminormal or t-closed?
Picavet-L'Hermitte, Martine
Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999), p. 189-217 / Harvested from Biblioteca Digitale Italiana di Matematica
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Sia a un intero algebrico con il polinomio minimale f⁢X. Si danno condizioni necessarie e sufficienti affinché l'anello Z⁢α sia seminormale o t-chiuso per mezzo di f⁢X. Come applicazione, in particolare, si ottiene che se f⁢X=X3+a⁢X+b, a, b∈Z le condizioni sono espresse mediante il discriminante de f⁢X.

Publié le : 1999-02-01
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     author = {Martine Picavet-L'Hermitte},
     title = {When is $\mathbb{Z}[\alpha]$ seminormal or $t$-closed?},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {2-A},
     year = {1999},
     pages = {189-217},
     zbl = {0921.13013},
     mrnumber = {1794550},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1999_8_2B_1_189_0}
}

Picavet-L'Hermitte, Martine. When is $\mathbb{Z}[\alpha]$ seminormal or $t$-closed?. Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999) pp. 189-217. http://gdmltest.u-ga.fr/item/BUMI_1999_8_2B_1_189_0/

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