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When is Z α seminormal or t -closed?

Martine Picavet-L'Hermitte (1999)

Bollettino dell'Unione Matematica Italiana

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 = X 3 + a X + b , a , b Z le condizioni sono espresse mediante il discriminante de f X .

Wilson’s theorem

Chandan Singh Dalawat (2009)

Journal de Théorie des Nombres de Bordeaux

We show how K. Hensel could have extended Wilson’s theorem from Z to the ring of integers 𝔬 in a number field, to find the product of all invertible elements of a finite quotient of 𝔬 .

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