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Matematicheskie Zametki, 2015, Volume 97, Issue 6, Pages 925–929
DOI: https://doi.org/10.4213/mzm10222 (Mi mzm10222) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Characterization of Locally Noetherian Varieties in Terms of Idempotents

O. B. Finogenova

Ural State University, Ekaterinburg
Full-text PDF (409 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10222
Abstract: It is proved that a variety of associative rings is left and right locally Noetherian if and only if every finitely generated ring in the variety contains only finitely many idempotents.
Keywords: variety of associative rings, left (right) locally Noetherian ring, idempotent.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00524
Ministry of Education and Science of the Russian Federation 2248
НШ-5161.2014.1
This work was completed in the framework of the implementation of the basic part of the State Assignment concerning the completion of Scientific Research Developments (grant no. 2248 of the Ministry of Education and Science of the Russian Federation) and was supported by the Russian Foundation for Basic Research (grant no. 14-01-00524) and by the program “Leading Scientific Schools” (grant no. NSh-5161.2014.1).
Received: 08.11.2012
English version:
Mathematical Notes, 2015, Volume 97, Issue 6, Pages 937–940
DOI: https://doi.org/10.1134/S0001434615050284
Bibliographic databases:
Document Type: Article
UDC: 512.552.4
Language: Russian
Citation: O. B. Finogenova, “Characterization of Locally Noetherian Varieties in Terms of Idempotents”, Mat. Zametki, 97:6 (2015), 925–929; Math. Notes, 97:6 (2015), 937–940
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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