Artinian skew group rings
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- Proc. Amer. Math. Soc. 75 (1979), 1-7 Request permission
Abstract:
Let R be a ring with identity and let $\theta$ be a group homomorphism from a group G to ${\operatorname {Aut}}(R)$, the group of automorphisms of R. We prove that skew group ring $R{ \ast _\theta }G$ is right Artinian (resp., semiprimary, right perfect) if and only if R is right Artinian (resp., semiprimary, right perfect) and the group G is finite. Also semilocal skew group rings over fields are characterized.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 1-7
- MSC: Primary 16A26
- DOI: https://doi.org/10.1090/S0002-9939-1979-0529201-8
- MathSciNet review: 529201