Geodesic
The Periodic Radical of Group Rings and Incidence Algebras
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 481-487

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

DOI

Let $R$ be a ring with 1 and $P(R)$ the periodic radical of $R$ . We obtain necessary and sufficient conditions for $P(\text{RG})=0$ when $\text{FG}$ is the group ring of an $\text{FC}$ group $G$ and $R$ is commutative. We also obtain a complete description of $P\left( I(X,R) \right)$ when $I(X,R)$ is the incidence algebra of a locally finite partially ordered set $X$ and $R$ is commutative.
DOI : 10.4153/CMB-1998-063-4
Mots-clés : 16S34, 16S99, 16N99 
Parmenter, M. M.; Spiegel, E.; Stewart, P. N. The Periodic Radical of Group Rings and Incidence Algebras. Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 481-487. doi: 10.4153/CMB-1998-063-4
@article{10_4153_CMB_1998_063_4,
     author = {Parmenter, M. M. and Spiegel, E. and Stewart, P. N.},
     title = {The {Periodic} {Radical} of {Group} {Rings} and {Incidence} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {481--487},
     year = {1998},
     volume = {41},
     number = {4},
     doi = {10.4153/CMB-1998-063-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-063-4/}
}
TY  - JOUR
AU  - Parmenter, M. M.
AU  - Spiegel, E.
AU  - Stewart, P. N.
TI  - The Periodic Radical of Group Rings and Incidence Algebras
JO  - Canadian mathematical bulletin
PY  - 1998
SP  - 481
EP  - 487
VL  - 41
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-063-4/
DO  - 10.4153/CMB-1998-063-4
ID  - 10_4153_CMB_1998_063_4
ER  - 
%0 Journal Article
%A Parmenter, M. M.
%A Spiegel, E.
%A Stewart, P. N.
%T The Periodic Radical of Group Rings and Incidence Algebras
%J Canadian mathematical bulletin
%D 1998
%P 481-487
%V 41
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-063-4/
%R 10.4153/CMB-1998-063-4
%F 10_4153_CMB_1998_063_4

Cité par Sources :