Normality of monomial ideals in two sets of variables.
La Barbiera, Monica, Paratore, Mariafortuna (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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La Barbiera, Monica, Paratore, Mariafortuna (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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W. Dale Brownawell (1980)
Mémoires de la Société Mathématique de France
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Bouziane, Driss, Rody, Abdelilah Kandri (2003)
International Journal of Mathematics and Mathematical Sciences
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Veronique Lierde (2011)
Open Mathematics
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Let (R;m) be a 2-dimensional rational singularity with algebraically closed residue field and whose associated graded ring is an integrally closed domain. Göhner has shown that for every prime divisor v of R, there exists a unique one-fibered complete m-primary ideal A v in R with unique Rees valuation v and such that any complete m-primary ideal with unique Rees valuation v, is a power of A v. We show that for v ≠ ordR, A v is the inverse transform of a simple complete ideal in an immediate...
Paolo Valabrega (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Martine Picavet-L'Hermitte (1999)
Bollettino dell'Unione Matematica Italiana
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Sia a un intero algebrico con il polinomio minimale . Si danno condizioni necessarie e sufficienti affinché l'anello sia seminormale o -chiuso per mezzo di . Come applicazione, in particolare, si ottiene che se , , le condizioni sono espresse mediante il discriminante de .
James J. Madden, Niels Schwartz (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.