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Condensed And Strongly Condensed Domains

Mimouni, A (2008) Condensed And Strongly Condensed Domains. CANADIAN MATHEMATICAL SOC, CANADIAN MATHEMATICAL BULLETINBULLETIN CANADIEN DE MATHEMATIQUES, 52.

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Abstract

This paper deals with the concepts of condensed and strongly condensed domains. By definition, an integral domain R is condensed (resp. strongly condensed) if each pair of ideals I and J of R, IJ = {ab/a is an element of I, b is an element of J} (resp. IJ = aJ for some a is an element of I or IJ = Ib for some b is an element of J). More precisely,we investigate the ideal theory of condensed and strongly condensed domains in Noetherian-like settings, especially Mori and strong Mori domains and the transfer of these concepts to pullbacks.



Item Type:Article
Date:2008
Date Type:Publication
Subjects:General
Divisions:General
Creators:Mimouni, A
Email:amimouni@kfupm.edu.sa
ID Code:17672
Deposited By:Morshed Alam Bhuiyan
Deposited On:30 Aug 2008 17:03
Last Modified:12 Apr 2011 13:16

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