Geodesic
Going Down in Polynomial Rings
Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 704-711

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

In this paper, R ⊂ T will be commutative domains having a common identity. Definition. Suppose that R is a subdomain of T.(i) If P is a prime ideal of R and Q is a prime ideal of T, we say that Q lies over P if Q ∩ R = P.(ii) If every prime of R has a prime of T lying over it, we say that R ⊂ T has lying over.(iii) If there is a unique prime of T lying over P in R, we say that P is unibranched in T.(iv) If every prime of R is unibranched in T we say that R ⊂ T is unibranched. 
McAdam, Stephen. Going Down in Polynomial Rings. Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 704-711. doi: 10.4153/CJM-1971-079-5
@article{10_4153_CJM_1971_079_5,
     author = {McAdam, Stephen},
     title = {Going {Down} in {Polynomial} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {704--711},
     year = {1971},
     volume = {23},
     number = {4},
     doi = {10.4153/CJM-1971-079-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1971-079-5/}
}
TY  - JOUR
AU  - McAdam, Stephen
TI  - Going Down in Polynomial Rings
JO  - Canadian journal of mathematics
PY  - 1971
SP  - 704
EP  - 711
VL  - 23
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1971-079-5/
DO  - 10.4153/CJM-1971-079-5
ID  - 10_4153_CJM_1971_079_5
ER  - 
%0 Journal Article
%A McAdam, Stephen
%T Going Down in Polynomial Rings
%J Canadian journal of mathematics
%D 1971
%P 704-711
%V 23
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1971-079-5/
%R 10.4153/CJM-1971-079-5
%F 10_4153_CJM_1971_079_5

[1] 1. Kaplansky, I., Commutative rings (Allyn and Bacon, Boston, 1970). Google Scholar

[2] 2. McAdam, S., Going down (to appear). Google Scholar

Cité par Sources :