References
H. Bass, Big projective modules are free. Illinois J. Math.7, 24–31 (1963).
R. G. Burns, Central idempotents in group rings. Canad. Math. Bull.13, 527–528 (1970).
P. Hall, Finiteness conditions for soluble groups. Proc. London Math. Soc. (3)4, 419–436 (1954).
I. Kaplansky, Projective modules. Ann. of Math. (2)68, 372–377 (1958).
Y. Nouazé etP. Gabriel, Idéaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente. J. Algebra6, 77–99 (1967).
M. M. Parmenter andS. K. Sehgal, Idempotent elements and ideals in group rings and the intersection theorem. Arch. Math.24, 586–600 (1973).
K. W. Roggenkamp, Integral group rings of solvable finite groups have no idempotent ideals. Arch. Math.25, 125–128 (1974).
J. E. Roseblade, Polycyclic group rings and the nullstellensatz. In: Conf. Group Theory. Lect. Notes Math.319, 156–167, Berlin 1973.
J. E.Roseblade and P. F.Smith, A note on hypercentral group rings. To appear in J. London Math. Soc.
P. F. Smith, On the intersection theorem. Proc. London Math. Soc. (3)21, 385–398 (1970).
R. G. Swan, The Grothendieck ring of a finite group. Topology2, 85–110 (1963).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Smith, P.F. A note on idempotent ideals in group rings. Arch. Math 27, 22–27 (1976). https://doi.org/10.1007/BF01224636
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01224636