Graded prime Goldie rings

被引：0
|
作者：
Bazhenov D.S. [1 ]
机构：
[1] Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow
来源：
Moscow University Mathematics Bulletin | 2017年 / 72卷 / 2期
关键词：
D O I：
10.3103/S002713221702005X
中图分类号：
学科分类号：
摘要：
Prime Goldie rings graded by a group are studied. It is proved that there exists a completely gr-reducible graded ring of fractions in the case of a grading group with a finite commutator subgroup (which enhances the results of Goodearl–Stafford obtained for Abelian groups). An example where such ring does not exist is constructed (a counterexample for a semi-prime ring was already known). © 2017, Allerton Press, Inc.
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页码：70 / 72
页数：2
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