Criteria for the Validity of Goldie’s Theorems for Graded Rings

被引:0
作者
A. L. Kanunnikov
机构
[1] Lomonosov Moscow State University,
来源
Algebra and Logic | 2018年 / 57卷
关键词
graded Goldie rings; graded rings of quotients;
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摘要
We specify conditions on a group G that are necessary and sufficient for analogs of Goldie’s theorems to hold in a class of G-graded rings, i.e., for every G-graded gr-prime (gr-semiprime) right Goldie ring to possess a completely gr-reducible graded classical right ring of quotients.
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页码:353 / 359
页数:6
相关论文
共 2 条
  • [1] Goldie AW(1960)Semi-prime rings with maximum condition Proc. London Math. Soc., III Ser. 10 201-220
  • [2] Johnson RE(1961)Quotient rings of rings with zero singular ideal Pac. J. Math. 11 1385-1392