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A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras

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Abstract

We construct a special class of fermionic Novikov superalgebras from linear functions. We show that they are Novikov superalgebras. Then we give a complete classification of them, among which there are some non-associative examples. This method leads to several new examples which have not been described in the literature.

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Authors and Affiliations

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P.R. China

    Huibin Chen & Shaoqiang Deng

Authors
  1. Huibin Chen
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  2. Shaoqiang Deng
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Correspondence to Huibin Chen.

Additional information

The research has been supported by NSFC (no. 11671212, 51535008).

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Chen, H., Deng, S. A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras. Czech Math J 68, 1159–1168 (2018). https://doi.org/10.21136/CMJ.2018.0144-17

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  • DOI: https://doi.org/10.21136/CMJ.2018.0144-17

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