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A Note on Rings and Modules Graded by Some Special Groups
引用本文:铁军. A Note on Rings and Modules Graded by Some Special Groups[J]. 东北数学, 1997, 0(3)
作者姓名:铁军
作者单位:Northeast China
摘    要:In this note we prove that the prime madicals of some graded rings and the scoles of some graded modules are also graded. The results on the relations between the prime radical and the graded prime radical are also presented. Moreover, the relations between a graded ring and its initial subring are studied.


A Note on Rings and Modules Graded by Some Special Groups
Tie Jun. A Note on Rings and Modules Graded by Some Special Groups[J]. Northeastern Mathematical Journal, 1997, 0(3)
Authors:Tie Jun
Abstract:In this note we prove that the prime madicals of some graded rings and the scoles of some graded modules are also graded. The results on the relations between the prime radical and the graded prime radical are also presented. Moreover, the relations between a graded ring and its initial subring are studied.
Keywords:Prime Radical  Graded Prime Radical  G-Prime Radical
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