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Addendum to: Group-graded rings, smash products, and group actions. (English) Zbl 0616.16001
In this addendum, the authors give an alternate (shorter) proof of the fact that for a finite group \(G\) and \(G\)-graded ring \(A\), the graded Jacobson radical is contained in the Jacobson radical. As well, they correct the statements of Theorem 2.10 and Corollary 2.13 of the original paper [ibid. 282, 237–258 (1984; Zbl 0533.16001)].

MSC:
16W50 Graded rings and modules (associative rings and algebras)
16Nxx Radicals and radical properties of associative rings
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
46L40 Automorphisms of selfadjoint operator algebras
16Dxx Modules, bimodules and ideals in associative algebras
16S34 Group rings
16W20 Automorphisms and endomorphisms
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