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Simple Filippov superalgebras of type B(m, n)

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Abstract

This account is a first step toward a classification of finite-dimensional simple Filippov superalgebras over an algebraically closed field of characteristic 0. Here, n-ary Filippov superalgebras with nonzero even and odd parts are treated for the case n ⩾ 3.

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Authors and Affiliations

  1. Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    A. P. Pozhidaev

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  1. A. P. Pozhidaev
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Correspondence to A. P. Pozhidaev.

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Supported by RFBR (grant No. 05-01-00230) and by SB RAS (Integration project No. 1.9 and Young Researchers Support grant No. 29).

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Translated from Algebra i Logika, Vol. 47, No. 2, pp. 240–261, March–April, 2008.

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Pozhidaev, A.P. Simple Filippov superalgebras of type B(m, n). Algebra Logic 47, 139–152 (2008). https://doi.org/10.1007/s10469-008-9005-1

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