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Fundamentalnaya i Prikladnaya Matematika, 2009, Volume 15, Issue 1, Pages 53–63 (Mi fpm1207)  
This article is cited in 13 scientific papers (total in 13 papers)

On linearly ordered linear algebras

J. V. Kochetova, E. E. Shirshova

Moscow State Pedagogical University
Full-text PDF (135 kB) Citations (13)
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Abstract: The Kopytov order for any algebras over a field is considered. Necessary and sufficient conditions for an algebra to be a linearly ordered algebra are presented. Some results concerning the properties of ideals of linearly ordered algebras are obtained. Some examples of algebras with the Kopytov order are described. The Kopytov order for these examples induces the order on other algebraic objects.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 6, Pages 725–732
DOI: https://doi.org/10.1007/s10958-010-9888-y
Bibliographic databases:
UDC: 512.552+512.545
Language: Russian
Citation: J. V. Kochetova, E. E. Shirshova, “On linearly ordered linear algebras”, Fundam. Prikl. Mat., 15:1 (2009), 53–63; J. Math. Sci., 166:6 (2010), 725–732
Citation in format AMSBIB
\Bibitem{KocShi09}
\by J.~V.~Kochetova, E.~E.~Shirshova
\paper On linearly ordered linear algebras
\jour Fundam. Prikl. Mat.
\yr 2009
\vol 15
\issue 1
\pages 53--63
\mathnet{http://mi.mathnet.ru/fpm1207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2744946}
\elib{https://elibrary.ru/item.asp?id=15313735}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 166
\issue 6
\pages 725--732
\crossref{https://doi.org/10.1007/s10958-010-9888-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952288710}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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