Geodesic
Comparing Graded Versions of the Prime Radical
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 158-164

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

DOI

Let G be a group with identity e, let λ be a normal supernilpotent radical in the category of associative rings and let λref be the reflected radical in the category of G-graded rings. Then for A a G-graded ring, λref(A) is the largest graded ideal of A whose intersection with Ae is λ (Ae). For λ = B, the prime radical, we compare Bref(A) to BG(A) = B(A)G , the largest graded ideal in B(A).
DOI : 10.4153/CMB-1991-026-2
Mots-clés : 16A03, 16A21, 16A12. 
Beattie, M. A.; S.X., Liu; Stewart, P. N. Comparing Graded Versions of the Prime Radical. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 158-164. doi: 10.4153/CMB-1991-026-2
@article{10_4153_CMB_1991_026_2,
     author = {Beattie, M. A. and S.X., Liu and Stewart, P. N.},
     title = {Comparing {Graded} {Versions} of the {Prime} {Radical}},
     journal = {Canadian mathematical bulletin},
     pages = {158--164},
     year = {1991},
     volume = {34},
     number = {2},
     doi = {10.4153/CMB-1991-026-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-026-2/}
}
TY  - JOUR
AU  - Beattie, M. A.
AU  - S.X., Liu
AU  - Stewart, P. N.
TI  - Comparing Graded Versions of the Prime Radical
JO  - Canadian mathematical bulletin
PY  - 1991
SP  - 158
EP  - 164
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-026-2/
DO  - 10.4153/CMB-1991-026-2
ID  - 10_4153_CMB_1991_026_2
ER  - 
%0 Journal Article
%A Beattie, M. A.
%A S.X., Liu
%A Stewart, P. N.
%T Comparing Graded Versions of the Prime Radical
%J Canadian mathematical bulletin
%D 1991
%P 158-164
%V 34
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-026-2/
%R 10.4153/CMB-1991-026-2
%F 10_4153_CMB_1991_026_2

Cité par Sources :