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International Journal of Mathematics and Mathematical SciencesVolume 2010 2010, Article ID 231326, 4 pages

Research ArticleDepartment of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, P.O. Box 278, Dhahran 31261, Saudi Arabia

Received 8 April 2010; Accepted 25 August 2010

Academic Editor: David Dobbs

Copyright © 2010 A. Mimouni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in, any medium, provided the original work is properly cited.

Abstract

Let R be an integral domain with quotient field L. Call a nonzero fractional ideal A of R a colon-multiplication ideal any ideal A, such that for every nonzero fractional ideal B of R. In this note, we characterize integral domains for which every maximal ideal resp., every nonzero ideal is a colon-multiplication ideal. It turns that this notion unifies Dedekind and MTP domains.





Autor: A. Mimouni

Fuente: https://www.hindawi.com/



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