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Algebra i logika, 2001, Volume 40, Number 3, Pages 262–289 (Mi al220)  
This article is cited in 5 scientific papers (total in 5 papers)

Immediate Extensions of Prüfer Rings

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (2760 kB) Citations (5)
Abstract: We study into questions that naturally arise when Prüfer rings are viewed from the geometry standpoint. A ring of principal ideals which has infinitely many prime ideals and is such that its field of fractions is non-Hilbertian is constructed. This answers in the negative a question of Lang.
Keywords: Prüfer ring, ring of principal ideal, field of fractions.
Received: 21.11.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 3, Pages 144–158
DOI: https://doi.org/10.1023/A:1010256101127
Bibliographic databases:
UDC: 510.53:512.52
Language: Russian
Citation: Yu. L. Ershov, “Immediate Extensions of Prüfer Rings”, Algebra Logika, 40:3 (2001), 262–289; Algebra and Logic, 40:3 (2001), 144–158
Citation in format AMSBIB
\Bibitem{Ers01}
\by Yu.~L.~Ershov
\paper Immediate Extensions of Pr\"ufer Rings
\jour Algebra Logika
\yr 2001
\vol 40
\issue 3
\pages 262--289
\mathnet{http://mi.mathnet.ru/al220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857883}
\zmath{https://zbmath.org/?q=an:1032.13009}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 3
\pages 144--158
\crossref{https://doi.org/10.1023/A:1010256101127}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549109896}
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    • This publication is cited in the following 5 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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