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Algebra i logika, 2019, Volume 58, Number 5, Pages 627–649
DOI: https://doi.org/10.33048/alglog.2019.58.504
(Mi al919)
 

This article is cited in 2 scientific papers (total in 2 papers)

Simple asymmetric doubles, their automorphisms and derivations

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow
Full-text PDF (268 kB) Citations (2)
References:
Abstract: A simple right-alternative, but not alternative, superalgebra whose even part coincides with an algebra of second-order matrices is called an asymmetric double. It is known that such superalgebras are eight-dimensional. We give a solution to the isomorphism problem for asymmetric doubles, point out their automorphism groups and derivation superalgebras.
Keywords: asymmetric double, isomorphism, automorphism group, superalgebra.
Received: 14.12.2018
Revised: 26.11.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 5, Pages 417–433
DOI: https://doi.org/10.1007/s10469-019-09561-z
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, O. V. Shashkov, “Simple asymmetric doubles, their automorphisms and derivations”, Algebra Logika, 58:5 (2019), 627–649; Algebra and Logic, 58:5 (2019), 417–433
Citation in format AMSBIB
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\by S.~V.~Pchelintsev, O.~V.~Shashkov
\paper Simple asymmetric doubles, their automorphisms and derivations
\jour Algebra Logika
\yr 2019
\vol 58
\issue 5
\pages 627--649
\mathnet{http://mi.mathnet.ru/al919}
\crossref{https://doi.org/10.33048/alglog.2019.58.504}
\transl
\jour Algebra and Logic
\yr 2019
\vol 58
\issue 5
\pages 417--433
\crossref{https://doi.org/10.1007/s10469-019-09561-z}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076206265}
Linking options:
  • https://www.mathnet.ru/eng/al919
  • https://www.mathnet.ru/eng/al/v58/i5/p627
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:342
    Full-text PDF :41
    References:54
    First page:16
     
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