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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1985, Volume 26, Pages 213–257 (Mi intd83)  
This article is cited in 8 scientific papers (total in 8 papers)

Lattices with modular identity and Lie algebras

A. A. Lashkhi
Full-text PDF (2184 kB) Citations (8)
Abstract: The classification of Lie algebras over a principal ideal ring, the lattice of whose subalgebras satisfies a modular identity, is given.
English version:
Journal of Soviet Mathematics, 1987, Volume 38, Issue 2, Pages 1823–1853
DOI: https://doi.org/10.1007/BF01088205
Bibliographic databases:
UDC: 512.565+512.554.3
Language: Russian
Citation: A. A. Lashkhi, “Lattices with modular identity and Lie algebras”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 26, VINITI, Moscow, 1985, 213–257; J. Soviet Math., 38:2 (1987), 1823–1853
Citation in format AMSBIB
\Bibitem{Las85}
\by A.~A.~Lashkhi
\paper Lattices with modular identity and Lie algebras
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1985
\vol 26
\pages 213--257
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd83}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=849789}
\zmath{https://zbmath.org/?q=an:0621.17003|0606.17005}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 38
\issue 2
\pages 1823--1853
\crossref{https://doi.org/10.1007/BF01088205}
Linking options:
  • https://www.mathnet.ru/eng/intd83
  • https://www.mathnet.ru/eng/intd/v26/p213
    • This publication is cited in the following 8 articles:
    1. A. A. Lashkhi, “Projection of rational Lie rings”, Journal of Mathematical Sciences, 218:6 (2016), 794–802  mathnet  mathnet  crossref
    2. P. Gurtskaia, A. Lashkhi, “Modelling of Ring Geometry from von Neumann’s Point of View”, Journal of Mathematical Sciences, 191:6 (2013), 757–763  mathnet  mathnet  crossref
    3. T. Bokelavadze, A. Tavadze, “Subgroup Lattices of Hall’s W-Power Groups”, Journal of Mathematical Sciences, 191:6 (2013), 751–756  mathnet  mathnet  crossref
    4. A. Lashkhi, “Fundamental Theorem of Affine Geometry for Lie Algebras”, Journal of Mathematical Sciences, 191:6 (2013), 768–775  mathnet  mathnet  crossref
    5. M. G. Amaglobeli, “Power groups”, Journal of Mathematical Sciences, 186:6 (2012), 811–865  mathnet  mathnet  crossref
    6. M. G. Amaglobeli, “Free products in the category of A-groups over a ring A”, Journal of Mathematical Sciences, 186:5 (2012), 687–693  mathnet  mathnet  crossref
    7. A. Lashkhi, T. Gelashvili, “Lattices of subrepresentations of Lie algebras and their isomorphisms”, J Math Sci, 153:4 (2008), 518  crossref
    8. A. A. Lashkhi, “The fundamental theorem of projective geometry in modules and Lie algebras”, J. Soviet Math., 42:5 (1988), 1991–2008  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :118
    References:1
     
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