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Mathematics of the USSR-Izvestiya, 1987, Volume 28, Issue 1, Pages 79–98
DOI: https://doi.org/10.1070/IM1987v028n01ABEH000868 (Mi im1472) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Prime algebras and absolute zero divisors

S. V. Pchelintsev
English version PDF (1033 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM1987v028n01ABEH000868
Abstract: This paper is devoted to the solution of the problem of absolute zero divisors in the varieties of Jordan algebras and $(-1,1)$-algebras over a field of characteristic $0$. It is shown that in those varieties there exist prime algebras generated by absolute zero divisors.
Bibliography: 21 titles.
Received: 21.11.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 1, Pages 79–100
Bibliographic databases:
UDC: 519.48
MSC: Primary 17C10, 17D20; Secondary 17D05, 17D15
Language: English
Original paper language: Russian
Citation: S. V. Pchelintsev, “Prime algebras and absolute zero divisors”, Izv. Akad. Nauk SSSR Ser. Mat., 50:1 (1986), 79–100; Math. USSR-Izv., 28:1 (1987), 79–98
Citation in format AMSBIB
\Bibitem{Pch86}
\by S.~V.~Pchelintsev
\paper Prime algebras and absolute zero divisors
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1986
\vol 50
\issue 1
\pages 79--100
\mathnet{http://mi.mathnet.ru/im1472}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=835567}
\zmath{https://zbmath.org/?q=an:0615.17011|0609.17008}
\transl
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 1
\pages 79--98
\crossref{https://doi.org/10.1070/IM1987v028n01ABEH000868}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:349
    Russian version PDF:135
    English version PDF:16
    References:44
    First page:1
     
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