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Sbornik: Mathematics, 2014, Volume 205, Issue 4, Pages 476–487
DOI: https://doi.org/10.1070/SM2014v205n04ABEH004384 (Mi sm8218) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Rings whose $p$-ranks do not exceed 1

O. Guseva, A. V. Tsarev

Moscow State Pedagogical University
English version PDF (473 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2014v205n04ABEH004384
Abstract: We consider associative torsion-free rings of finite rank whose $p$-ranks do not exceed 1. For these rings, certain analogues of Wedderburn's theorem on finite-dimensional algebras are found.
Bibliography: 11 titles.
Keywords: associative ring, mixed Abelian group, ring of polyadic numbers, quotient-divisible group, $p$-rank, $E$-ring.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.B37.21.0363
Received: 31.01.2013
Bibliographic databases:
Document Type: Article
UDC: 512.552.1+512.541
MSC: Primary 16D70; Secondary 20K21
Language: English
Original paper language: Russian
Citation: O. Guseva, A. V. Tsarev, “Rings whose $p$-ranks do not exceed 1”, Sb. Math., 205:4 (2014), 476–487
Citation in format AMSBIB
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\by O.~Guseva, A.~V.~Tsarev
\paper Rings whose $p$-ranks do not exceed~1
\jour Sb. Math.
\yr 2014
\vol 205
\issue 4
\pages 476--487
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  • https://doi.org/10.1070/SM2014v205n04ABEH004384
  • https://www.mathnet.ru/eng/sm/v205/i4/p21
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:578
    Russian version PDF:220
    English version PDF:22
    References:70
    First page:29
     
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