Some remarks on the altitude inequality

• Autorzy: Noômen Jarboui
• Języki publikacji: EN

Abstrakty

EN

We introduce and study a new class of ring extensions based on a new formula involving the heights of their primes. We compare them with the classical altitude inequality and altitude formula, and we give another characterization of locally Jaffard domains, and domains satisfying absolutely the altitude inequality (resp., the altitude formula). Then we study the extensions R ⊆ S where R satisfies the corresponding condition with respect to S (Definition 3.1). This leads to a new characterization of integral extensions.

Słowa kluczowe

EN

valuation domain; altitude inequality; restrictive altitude inequality; locally Jaffard domain

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 80
• Numer: 1
• Strony: 39-52

Daty

wydano

1999

otrzymano

1998-06-16

Twórcy

autor

Noômen Jarboui

• Laboratoire d'algèbre E03/C15, Department of Mathematics, Faculty of Sciences, University of Sfax, Sfax, 3038 Tunisia

Bibliografia

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