Geodesic
A Note on Radical Extensions of Rings
Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 423-424

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

DOI

All rings are associative. A ring T is said to be radical over a subring R if for every t ∈ T, there exists a natural number n(t) such that tn(t) ∈ R.In [1] Faith showed that if T is radical over R and T is primitive, then R is primitive. We might then ask if the same is true if prime is substituted for primitive. 
Chacron, M.; Lawrence, J.; Madison, D. A Note on Radical Extensions of Rings. Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 423-424. doi: 10.4153/CMB-1975-077-4
@article{10_4153_CMB_1975_077_4,
     author = {Chacron, M. and Lawrence, J. and Madison, D.},
     title = {A {Note} on {Radical} {Extensions} of {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {423--424},
     year = {1975},
     volume = {18},
     number = {3},
     doi = {10.4153/CMB-1975-077-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-077-4/}
}
TY  - JOUR
AU  - Chacron, M.
AU  - Lawrence, J.
AU  - Madison, D.
TI  - A Note on Radical Extensions of Rings
JO  - Canadian mathematical bulletin
PY  - 1975
SP  - 423
EP  - 424
VL  - 18
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-077-4/
DO  - 10.4153/CMB-1975-077-4
ID  - 10_4153_CMB_1975_077_4
ER  - 
%0 Journal Article
%A Chacron, M.
%A Lawrence, J.
%A Madison, D.
%T A Note on Radical Extensions of Rings
%J Canadian mathematical bulletin
%D 1975
%P 423-424
%V 18
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-077-4/
%R 10.4153/CMB-1975-077-4
%F 10_4153_CMB_1975_077_4

Cité par Sources :