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 University Press

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
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