Geodesic
Exemples de Dimension de Krull D'Anneaux de Polynomes
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 135-138

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

For each pair (m, n) of integers such that m+1 ≦ n ≦ 2m+1, we give, by original and straightforward methods, some examples of rings A' such that dim A' = m and dim A'[X] = n.
DOI : 10.4153/CMB-1990-023-5
Mots-clés : 13.C.15. 
Ouertani, Ahmed. Exemples de Dimension de Krull D'Anneaux de Polynomes. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 135-138. doi: 10.4153/CMB-1990-023-5
@article{10_4153_CMB_1990_023_5,
     author = {Ouertani, Ahmed},
     title = {Exemples de {Dimension} de {Krull} {D'Anneaux} de {Polynomes}},
     journal = {Canadian mathematical bulletin},
     pages = {135--138},
     year = {1990},
     volume = {33},
     number = {2},
     doi = {10.4153/CMB-1990-023-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-023-5/}
}
TY  - JOUR
AU  - Ouertani, Ahmed
TI  - Exemples de Dimension de Krull D'Anneaux de Polynomes
JO  - Canadian mathematical bulletin
PY  - 1990
SP  - 135
EP  - 138
VL  - 33
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-023-5/
DO  - 10.4153/CMB-1990-023-5
ID  - 10_4153_CMB_1990_023_5
ER  - 
%0 Journal Article
%A Ouertani, Ahmed
%T Exemples de Dimension de Krull D'Anneaux de Polynomes
%J Canadian mathematical bulletin
%D 1990
%P 135-138
%V 33
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-023-5/
%R 10.4153/CMB-1990-023-5
%F 10_4153_CMB_1990_023_5

[1] 1. Bastida, E. and Gilmer, R., Overrings and divisorial ideals of rings of the forme D + M, Michigan Math. J. 20 (1973), 79–95. Google Scholar

[2] 2. Brewer, J. W. and Rutter, E. A., D +M constructions with general overrings, Michigan Math. J. 23 (1976) 33–412. Google Scholar

[3] 3. Costa, D., Mott, J. and Zafrullah, M., The D +XD[X] construction, J. Algebra 53 (1978), 423–4139. Google Scholar

[4] 4. Krull, W., Jakobsonche Ringe, Hilbertsche Nullstellensatz, Dimensionen théorie. Math. Zeit. 54 (1951), 354–387. Google Scholar

[5] 5. Seidenberg, A., A note on the dimension theory of rings, Pacific J. Math. 3 (1953) 505–512. Google Scholar

[6] 6. Seidenberg, A., On the dimension theory of rings II, Pacific J. Math. 4 (1954), 603–614. Google Scholar

Cité par Sources :