Geodesic
Condensed and Strongly Condensed Domains
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 406-412

Voir la notice de l'article provenant de la source Cambridge University Press

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 $R$ , $IJ\,=\,\{ab/a\,\in \,I,\,b\,\in \,J\}$ (resp. $IJ\,=\,aJ$ for some $a\,\in \,I\,or\,I\,J\,=\,Ib$ for some $b\,\in \,J$ ). 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.
DOI : 10.4153/CMB-2008-041-9
Mots-clés : 13G05, 13A15, 13F05, 13E05 
Mimouni, Abdeslam. Condensed and Strongly Condensed Domains. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 406-412. doi: 10.4153/CMB-2008-041-9
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