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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 2, Pages 159–174 (Mi fpm939)  
This article is cited in 12 scientific papers (total in 12 papers)

Prime radicals of graded $\Omega$-groups

A. V. Mikhaleva, I. N. Balabab, S. A. Pikhtilkovb

a M. V. Lomonosov Moscow State University
b Tula State Pedagogical University
Full-text PDF (186 kB) Citations (12)
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Abstract: In this paper, we introduce the class of graded $\Omega$-groups, which includes: groups; associative, conformal and vertex algebras; Lie algebras and graded algebras. The graded prime radical of a graded $\Omega$-group is defined, and its elementwise characterization is given. It is shown that the graded prime radical of a graded $\Omega$-groups with a finiteness condition coincides with the lower weakly solvable (in Parfyonov sense) radical.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 149, Issue 2, Pages 1146–1156
DOI: https://doi.org/10.1007/s10958-008-0053-9
Bibliographic databases:
UDC: 512.552
Language: Russian
Citation: A. V. Mikhalev, I. N. Balaba, S. A. Pikhtilkov, “Prime radicals of graded $\Omega$-groups”, Fundam. Prikl. Mat., 12:2 (2006), 159–174; J. Math. Sci., 149:2 (2008), 1146–1156
Citation in format AMSBIB
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\by A.~V.~Mikhalev, I.~N.~Balaba, S.~A.~Pikhtilkov
\paper Prime radicals of graded $\Omega$-groups
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 2
\pages 159--174
\mathnet{http://mi.mathnet.ru/fpm939}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2249699}
\zmath{https://zbmath.org/?q=an:1153.08001}
\elib{https://elibrary.ru/item.asp?id=9307283}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 149
\issue 2
\pages 1146--1156
\crossref{https://doi.org/10.1007/s10958-008-0053-9}
\elib{https://elibrary.ru/item.asp?id=13582339}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38549136753}
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  • https://www.mathnet.ru/eng/fpm/v12/i2/p159
    • This publication is cited in the following 12 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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    Full-text PDF :199
    References:61
    First page:1
     
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