Criteria for the Validity of Goldie’s Theorems for Graded Rings
被引:0
作者:
A. L. Kanunnikov
论文数: 0引用数: 0
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机构:Lomonosov Moscow State University,
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