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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 2, Pages 217–230 (Mi fpm26)  
This article is cited in 4 scientific papers (total in 4 papers)

Jordanian plane

E. N. Shirikov

M. V. Lomonosov Moscow State University
Full-text PDF (172 kB) Citations (4)
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Abstract: In the article, we consider the Jordanian plane over a field of arbitrary characteristic. We describe the prime spectrum, the group of automorphisms, and derivations of the Jordanian plane. We study some properties of valuations of the Jordanian plane. In particular, we prove that all valuations of the division ring of fractions of the Jordanian plane are Abelian.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 2, Pages 270–278
DOI: https://doi.org/10.1007/s10958-008-9166-4
Bibliographic databases:
UDC: 512.552+512.712
Language: Russian
Citation: E. N. Shirikov, “Jordanian plane”, Fundam. Prikl. Mat., 13:2 (2007), 217–230; J. Math. Sci., 154:2 (2008), 270–278
Citation in format AMSBIB
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\by E.~N.~Shirikov
\paper Jordanian plane
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 2
\pages 217--230
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2322981}
\zmath{https://zbmath.org/?q=an:1167.16036}
\elib{https://elibrary.ru/item.asp?id=11162649}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 154
\issue 2
\pages 270--278
\crossref{https://doi.org/10.1007/s10958-008-9166-4}
\elib{https://elibrary.ru/item.asp?id=13587905}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249109294}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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