Descending chain conditions for graded rings
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Abstract:
It is proved that if $R$ is a perfect (resp. Artinian) strongly graded ring whose ground subring is, modulo its Jacobson radical, a finite direct product of finite-dimensional simple algebras over (nondenumerable) algebraically closed fields, then the grading group cannot contain an infinite abelian subgroup (resp. must be finite). These results extend those of A. Reid and D. S. Passman on twisted group algebras.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 295-301
- MSC: Primary 16W50; Secondary 16P60
- DOI: https://doi.org/10.1090/S0002-9939-1992-1093603-0
- MathSciNet review: 1093603