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Matematicheskie Zametki, 1971, Volume 9, Issue 6, Pages 693–697 (Mi mzm7055)  
This article is cited in 1 scientific paper (total in 1 paper)

Linearly ordered rings which are not $o$-epimorphic images of ordered free rings

O. A. Ivanova

M. V. Lomonosov Moscow State University
Full-text PDF (367 kB) Citations (1)
Abstract: A proof is given that not every linearly ordered associative (associative-commutative) ring is the $o$-image of a free associative (associative-commutative) ring for some ordering of the latter. There are also nilpotent linearly ordered rings which are not $o$-epimorphic images of free associative or free associative-commutative $n$-nilpotent rings for $n\ge4$, no matter what ordering is used for the latter.
Received: 19.05.1969
English version:
Mathematical Notes, 1971, Volume 9, Issue 6, Pages 402–404
DOI: https://doi.org/10.1007/BF01094584
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: O. A. Ivanova, “Linearly ordered rings which are not $o$-epimorphic images of ordered free rings”, Mat. Zametki, 9:6 (1971), 693–697; Math. Notes, 9:6 (1971), 402–404
Citation in format AMSBIB
\Bibitem{Iva71}
\by O.~A.~Ivanova
\paper Linearly ordered rings which are not $o$-epimorphic images of ordered free rings
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 6
\pages 693--697
\mathnet{http://mi.mathnet.ru/mzm7055}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=286730}
\zmath{https://zbmath.org/?q=an:0229.06009|0222.06017}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 6
\pages 402--404
\crossref{https://doi.org/10.1007/BF01094584}
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  • https://www.mathnet.ru/eng/mzm/v9/i6/p693
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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