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

DOI

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
@article{10_4153_CMB_2008_041_9,
     author = {Mimouni, Abdeslam},
     title = {Condensed and {Strongly} {Condensed} {Domains}},
     journal = {Canadian mathematical bulletin},
     pages = {406--412},
     year = {2008},
     volume = {51},
     number = {3},
     doi = {10.4153/CMB-2008-041-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-041-9/}
}
TY  - JOUR
AU  - Mimouni, Abdeslam
TI  - Condensed and Strongly Condensed Domains
JO  - Canadian mathematical bulletin
PY  - 2008
SP  - 406
EP  - 412
VL  - 51
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-041-9/
DO  - 10.4153/CMB-2008-041-9
ID  - 10_4153_CMB_2008_041_9
ER  - 
%0 Journal Article
%A Mimouni, Abdeslam
%T Condensed and Strongly Condensed Domains
%J Canadian mathematical bulletin
%D 2008
%P 406-412
%V 51
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-041-9/
%R 10.4153/CMB-2008-041-9
%F 10_4153_CMB_2008_041_9

Cité par Sources :