Pairs of domains where all intermediate domains are Jaffard

Mabrouk Ben Nasr; Othman Echi; Lahoucine Izelgue; Noôman Jarboui

doi:10.1016/S0022-4049(98)00071-1

Pairs of domains where all intermediate domains are Jaffard

Mabrouk Ben Nasr
, Othman Echi^*
, Lahoucine Izelgue
, Noôman Jarboui

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

In this paper we deal with the study of pairs of rings where all intermediate rings are Jaffard. Furthermore, we introduce a new invariant allowing us to compute the number of Jaffard domains between any given extension of integral domains A ⊆ B. We also give a new characterization of valuation domains and one-dimensional Prüfer domains and provide many examples to illustrate the theory.

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Journal of Pure and Applied Algebra
Volume	145
Issue number	1
DOIs	https://doi.org/10.1016/S0022-4049(98)00071-1
State	Published - 5 Jan 2000
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/S0022-4049(98)00071-1

Cite this

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AU - Echi, Othman

AU - Izelgue, Lahoucine

AU - Jarboui, Noôman

PY - 2000/1/5

Y1 - 2000/1/5

N2 - In this paper we deal with the study of pairs of rings where all intermediate rings are Jaffard. Furthermore, we introduce a new invariant allowing us to compute the number of Jaffard domains between any given extension of integral domains A ⊆ B. We also give a new characterization of valuation domains and one-dimensional Prüfer domains and provide many examples to illustrate the theory.

AB - In this paper we deal with the study of pairs of rings where all intermediate rings are Jaffard. Furthermore, we introduce a new invariant allowing us to compute the number of Jaffard domains between any given extension of integral domains A ⊆ B. We also give a new characterization of valuation domains and one-dimensional Prüfer domains and provide many examples to illustrate the theory.

UR - https://www.scopus.com/pages/publications/0034606583

U2 - 10.1016/S0022-4049(98)00071-1

DO - 10.1016/S0022-4049(98)00071-1

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Pairs of domains where all intermediate domains are Jaffard

Abstract

ASJC Scopus subject areas

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