Group actions on Q-F-rings
HTML articles powered by AMS MathViewer
- by J.-L. Pascaud and J. Valette PDF
- Proc. Amer. Math. Soc. 76 (1979), 43-44 Request permission
Abstract:
Let B be a ring, G a finite group of automorphisms acting on B and ${B^G}$ the fixed subring of B. We give an example of a B which is quasi-Frobenius (Q-F) such that ${B^G}$ is not quasi-Frobenius.References
-
C. Curtis and J. Reiner, Representation theory of finite groups and associative algebras, Interscience, New York, 1966.
- Joe W. Fisher and James Osterburg, Some results on rings with finite group actions, Ring theory (Proc. Conf., Ohio Univ., Athens, Ohio, 1976) Lecture Notes in Pure and Appl. Math., Vol. 25, Dekker, New York, 1977, pp. 95–111. MR 0442022
- S. Jøndrup, Groups acting on rings, J. London Math. Soc. (2) 8 (1974), 483–486. MR 345951, DOI 10.1112/jlms/s2-8.3.483
- B. L. Osofsky, A generalization of quasi-Frobenius rings, J. Algebra 4 (1966), 373–387. MR 204463, DOI 10.1016/0021-8693(66)90028-7
- G. Renault, Algèbre non commutative, Collection “Varia Mathematica”, Gauthier-Villars Éditeur, Paris-Brussels-Montreal, Que., 1975 (French). MR 0384845
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 43-44
- MSC: Primary 16A36; Secondary 16A72
- DOI: https://doi.org/10.1090/S0002-9939-1979-0534387-5
- MathSciNet review: 534387