Czechoslovak Mathematical Journal, Vol. 68, No. 4, pp. 1159-1168, 2018
A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras
Huibin Chen, Shaoqiang Deng
Received March 28, 2017. Published online May 14, 2018.
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.
Keywords: left symmetric algebra; Novikov superalgebra; fermionic Novikov superalgebra
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