Trace properties and pullbacks

Salah Eddine Kabbaj; Thomas G. Lucas; Abdeslam Mimouni

doi:10.1081/AGB-120017753

Trace properties and pullbacks

Salah Eddine Kabbaj
, Thomas G. Lucas^*
, Abdeslam Mimouni

^*Corresponding author for this work

Department of Mathematics

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

15 Scopus citations

Abstract

An integral domain is said to have the radical trace property if the trace of each noninvertible ideal is a radical ideal. The article deals with the radical trace property and related trace properties with regard to various pairs of domains with a common ideal. Necessary and sufficient conditions are determined with regard to stability of the radical trace property in a few restricted settings.

Original language	English
Pages (from-to)	1085-1111
Number of pages	27
Journal	Communications in Algebra
Volume	31
Issue number	3
DOIs	https://doi.org/10.1081/AGB-120017753
State	Published - 1 Mar 2003

Bibliographical note

Funding Information:
During the preparation of this paper, Professor Kabbaj was supported by KFUPM.

Keywords

Pullback
Radical trace property

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1081/AGB-120017753

Cite this

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title = "Trace properties and pullbacks",

abstract = "An integral domain is said to have the radical trace property if the trace of each noninvertible ideal is a radical ideal. The article deals with the radical trace property and related trace properties with regard to various pairs of domains with a common ideal. Necessary and sufficient conditions are determined with regard to stability of the radical trace property in a few restricted settings.",

keywords = "Pullback, Radical trace property",

author = "Kabbaj, \{Salah Eddine\} and Lucas, \{Thomas G.\} and Abdeslam Mimouni",

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AU - Lucas, Thomas G.

AU - Mimouni, Abdeslam

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PY - 2003/3/1

Y1 - 2003/3/1

N2 - An integral domain is said to have the radical trace property if the trace of each noninvertible ideal is a radical ideal. The article deals with the radical trace property and related trace properties with regard to various pairs of domains with a common ideal. Necessary and sufficient conditions are determined with regard to stability of the radical trace property in a few restricted settings.

AB - An integral domain is said to have the radical trace property if the trace of each noninvertible ideal is a radical ideal. The article deals with the radical trace property and related trace properties with regard to various pairs of domains with a common ideal. Necessary and sufficient conditions are determined with regard to stability of the radical trace property in a few restricted settings.

KW - Pullback

KW - Radical trace property

UR - https://www.scopus.com/pages/publications/0037366803

U2 - 10.1081/AGB-120017753

DO - 10.1081/AGB-120017753

M3 - Article

AN - SCOPUS:0037366803

SN - 0092-7872

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SP - 1085

EP - 1111

JO - Communications in Algebra

JF - Communications in Algebra

IS - 3

ER -

Trace properties and pullbacks

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this