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Subjects
13-XX Commutative algebra
13Fxx Arithmetic rings and other special rings
13F30 Valuation rings

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Fonctions pseudo-concaves et anneaux henséliens

R. Rivet (1972)

Publications mathématiques et informatique de Rennes

Formal prime ideals of infinite value and their algebraic resolution

Steven Dale Cutkosky, Samar ElHitti (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

Suppose that $R$ is a local domain essentially of finite type over a field of characteristic $0$ , and $ν$ a valuation of the quotient field of $R$ which dominates $R$ . The rank of such a valuation often increases upon extending the valuation to a valuation dominating $\hat{R}$ , the completion of $R$ . When the rank of $ν$ is $1$ , Cutkosky and Ghezzi handle this phenomenon by resolving the prime ideal of infinite value, but give an example showing that when the rank is greater than $1$ , there is no natural ideal in $\hat{R}$ that...

Fractions rationnelles à valeurs entières

P. J. Cahen (1978)

Annales scientifiques de l'Université de Clermont. Mathématiques

Currently displaying 1 – 3 of 3

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