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

摘要

  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.