Zhou, Borong On Mackey decomposition theorems and Maschke’s theorem for strongly group-graded rings. (Chinese. English summary) Zbl 0762.16017 Adv. Math., Beijing 21, No. 3, 317-324 (1992). Summary: Let \(A=\bigoplus_{g\in G} A_ g\) be a strongly graded ring by a multiplicative group \(G\). Two Mackey decomposition theorems and a generalization of Maschke’s theorem are given, also the relation of the Jacobson radicals of \(A\) and \(A_ 1\) which is the 1-component of \(A\) is studied, where 1 is the identity of \(G\). MSC: 16W50 Graded rings and modules (associative rings and algebras) 16N20 Jacobson radical, quasimultiplication Keywords:strongly graded ring; Mackey decomposition theorems; Maschke’s theorem; Jacobson radicals PDFBibTeX XMLCite \textit{B. Zhou}, Adv. Math., Beijing 21, No. 3, 317--324 (1992; Zbl 0762.16017)