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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