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

被引：0
作者：
Kanunnikov, A. L. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Leninskie Gory 1, Moscow 119991, Russia
来源：
ALGEBRA AND LOGIC | 2018年 / 57卷 / 05期
基金：
俄罗斯科学基金会;
关键词：
graded Goldie rings; graded rings of quotients;
D O I：
10.1007/s10469-018-9507-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：7
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