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Communications in Algebra Volume 31, 2003 - Issue 3
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Original Articles

Trace Properties and Pullbacks

Salah-Eddine Kabbaj Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
,
Thomas G. Lucas Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina, USA; Department of Mathematics, University of North Carolina at Charlotte, Charlotte, North Carolina, 28223-0001, USACorrespondence[email protected]
&
Abdeslam Mimouni Department of Mathematics, Faculty of Sciences “Dhar Al-Mehraz”, University of Fez, Fez, Morocco
Pages 1085-1111 | Received 01 May 2000, Published online: 31 Aug 2006
 
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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.

Acknowledgment

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

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