A note on graded algebras
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- by Edmund R. Puczyłowski PDF
- Proc. Amer. Math. Soc. 113 (1991), 1-3 Request permission
Abstract:
It is proved that if an algebra over a field of characteristic $p > 0$ is graded by a finite $p$-group, then its ideals having nilpotent intersection with the identity component are nilpotent themselves.References
- Miriam Cohen and Louis H. Rowen, Group graded rings, Comm. Algebra 11 (1983), no. 11, 1253–1270. MR 696990, DOI 10.1080/00927878308822904
- J. Krempa, On semisimplicity of tensor products, Ring theory (Proc. Antwerp Conf. (NATO Adv. Study Inst.), Univ. Antwerp, Antwerp, 1978) Lecture Notes in Pure and Appl. Math., vol. 51, Dekker, New York, 1979, pp. 105–122. MR 563289
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 1-3
- MSC: Primary 16W50; Secondary 16N40
- DOI: https://doi.org/10.1090/S0002-9939-1991-0991706-9
- MathSciNet review: 991706