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Algebra i logika, 2018, Volume 57, Number 5, Pages 547–555
DOI: https://doi.org/10.33048/alglog.2018.57.503 (Mi al865) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Criteria for the validity of Goldie's theorems for graded rings

A. L. Kanunnikov

Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
Full-text PDF (146 kB) Citations (1)
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DOI: https://doi.org/10.33048/alglog.2018.57.503
Abstract: We specify conditions on a group $G$ that are neccessary and sufficient for analogs of Goldie's theorems to hold in a class of $G$-graded rings, i.e., for every $G$-graded $\mathrm{gr}$-prime ($\mathrm{gr}$-semiprime) right Godie ring to possess a completely $\mathrm{gr}$-reducible graded classical right ring of quotients.
Keywords: graded Goldie rings, graded rings of quotients.
Funding agency Grant number
Russian Science Foundation 16-11-10013
Supported by Russian Science Foundation, project 16-11-10013.
Received: 24.02.2017
Revised: 22.03.2017
English version:
Algebra and Logic, 2018, Volume 57, Issue 5, Pages 353–359
DOI: https://doi.org/10.1007/s10469-018-9507-4
Bibliographic databases:
Document Type: Article
UDC: 512.540+510.5
Language: Russian
Citation: A. L. Kanunnikov, “Criteria for the validity of Goldie's theorems for graded rings”, Algebra Logika, 57:5 (2018), 547–555; Algebra and Logic, 57:5 (2018), 353–359
Citation in format AMSBIB
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\by A.~L.~Kanunnikov
\paper Criteria for the validity of Goldie's theorems for graded rings
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\pages 547--555
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:39
    First page:12
     
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