Email this article Criteria for the Validity of Goldie’s Theorems for Graded Rings
- Authors: Kanunnikov A.L.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 57, No 5 (2018)
- Pages: 353-359
- Section: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/234102
- DOI: https://doi.org/10.1007/s10469-018-9507-4
- ID: 234102
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Abstract
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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About the authors
A. L. Kanunnikov
Lomonosov Moscow State University
Author for correspondence.
Email: andrew.kanunnikov@gmail.com
Russian Federation, Leninskie Gory 1, Moscow, 119991
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