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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 7, Pages 137–143 (Mi fpm1178)  
This article is cited in 6 scientific papers (total in 6 papers)

Prime and semiprime lattice ordered Lie algebras

J. V. Kochetova

Moscow State Pedagogical University
Full-text PDF (101 kB) Citations (6)
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Abstract: The concepts of prime Lie algebras and semiprime Lie algebras are important in the study of Lie algebras. The purpose of this paper is to investigate generalizations of these concepts to lattice ordered Lie algebras over partially ordered fields. Some results concerning the properties of $l$-prime and $l$-semiprime lattice ordered Lie algebras are obtained. A necessary and sufficient condition for a lattice ordered Lie algebra to be an $l$-prime Lie $l$-algebra is presented.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 164, Issue 2, Pages 245–249
DOI: https://doi.org/10.1007/s10958-009-9724-4
Bibliographic databases:
UDC: 512.554.3
Language: Russian
Citation: J. V. Kochetova, “Prime and semiprime lattice ordered Lie algebras”, Fundam. Prikl. Mat., 14:7 (2008), 137–143; J. Math. Sci., 164:2 (2010), 245–249
Citation in format AMSBIB
\Bibitem{Koc08}
\by J.~V.~Kochetova
\paper Prime and semiprime lattice ordered Lie algebras
\jour Fundam. Prikl. Mat.
\yr 2008
\vol 14
\issue 7
\pages 137--143
\mathnet{http://mi.mathnet.ru/fpm1178}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2533602}
\elib{https://elibrary.ru/item.asp?id=12291804}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 164
\issue 2
\pages 245--249
\crossref{https://doi.org/10.1007/s10958-009-9724-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-71649111043}
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  • https://www.mathnet.ru/eng/fpm/v14/i7/p137
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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