English

Generalized derivations of (color) n-ary algebras

Rings and Algebras 2020-04-03 v1

Abstract

We generalize the results of Leger and Luks about generalized derivations of Lie algebras to the case of color nn-ary Ω\Omega-algebras. Particularly, we prove some properties of generalized derivations of color nn-ary algebras; prove that a quasiderivation algebra of a color nn-ary Ω\Omega-algebra can be embedded into the derivation algebra of a larger color nn-ary Ω\Omega-algebra, and describe (anti)commutative nn-ary algebras satisfying the condition QDer=End.QDer = End.

Keywords

Cite

@article{arxiv.1506.00734,
  title  = {Generalized derivations of (color) n-ary algebras},
  author = {Ivan Kaygorodov and Yury Popov},
  journal= {arXiv preprint arXiv:1506.00734},
  year   = {2020}
}