English

\delta-derivations of n-ary algebras

Rings and Algebras 2015-05-28 v1 Quantum Algebra

Abstract

We defined \delta-derivations of n-ary algebras. We described \delta-derivations of (n+1)-dimensional n-ary Filippov algebras and simple finite-dimensional Filippov algebras over algebraically closed field zero characteristic, and simple ternary Malcev algebra M_8. We constructed new examples of non-trivial \delta-derivations of Filippov algebras and new examples of non-trivial antiderivations of simple Filippov algebras.

Keywords

Cite

@article{arxiv.1107.4427,
  title  = {\delta-derivations of n-ary algebras},
  author = {Ivan Kaygorodov},
  journal= {arXiv preprint arXiv:1107.4427},
  year   = {2015}
}

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12 pages