On residually integrally closed domains

• Autorzy: Echi O. , Jarboui N.
• Języki publikacji: EN

Abstrakty

EN

A domain R is called residually integrally closed if R/p is an integrally closed domain for each prime ideal p of R. We show that residually integrally closed domains satisfy some chain conditions on prime ideals. We give characterization of such domains in case they contain a field of characteristic 0. Section 3 deals with domains R such that R/p is a unique factorization domain for each prime ideal p of R, these domains are showed to be PID. We also prove that domains R such that R/p is a regular domain are exactly Dedekind domains

Słowa kluczowe

EN

integrally closed domain; factorization domain; regular domain

PL

domeny

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 3
• Strony: 543--550
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Echi O.

• Department of Mathematics, Faculty of Sciences of Tunis, University Tunis El Manar, "Campus Universitaire", 1060 Tunis, Tunisia

autor

Jarboui N.

• Faculty of Sciences of Sfax, Department of Mathematics, BP 802, 3018 Sfax, Tunisia

Bibliografia

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