On perfect group rings
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- by S. M. Woods PDF
- Proc. Amer. Math. Soc. 27 (1971), 49-52 Request permission
Abstract:
It is shown that the group ring $AG$ of the group $G$ over the ring $A$ is perfect if and only if $A$ is perfect and $G$ is finite. (Perfect rings were characterized by H. Bass in 1960.)References
- Hyman Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. MR 157984, DOI 10.1090/S0002-9947-1960-0157984-8
- W. D. Burgess, On semi-perfect group rings, Canad. Math. Bull. 12 (1969), 645–652. MR 255705, DOI 10.4153/CMB-1969-083-9
- Ian G. Connell, On the group ring, Canadian J. Math. 15 (1963), 650–685. MR 153705, DOI 10.4153/CJM-1963-067-0
- Joachim Lambek, Lectures on rings and modules, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1966. With an appendix by Ian G. Connell. MR 0206032
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 49-52
- MSC: Primary 20.80
- DOI: https://doi.org/10.1090/S0002-9939-1971-0271247-4
- MathSciNet review: 0271247