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Generalized Derivations of Multiplicative n-Ary Hom-\(\Omega \) Color Algebras

  • P. D. Beites
  • Ivan KaygorodovEmail author
  • Yury Popov
Article

Abstract

We generalize the results of Leger and Luks, Zhang R. and Zhang Y.; Chen, Ma, Ni, Niu, Zhou and Fan; Kaygorodov and Popov about generalized derivations of color n-ary algebras to the case of n-ary Hom-\(\Omega \) color algebras. Particularly, we prove some properties of generalized derivations of multiplicative n-ary Hom-\(\Omega \) color algebras. Moreover, we prove that the quasiderivation algebra of any multiplicative n-ary Hom-\(\Omega \) color algebra can be embedded into the derivation algebra of a larger multiplicative n-ary Hom-\(\Omega \) color algebra.

Keywords

Generalized derivation Color algebra Hom-algebra Hom–Lie superalgebra n-ary algebra 

Notes

Acknowledgements

We are grateful to the anonymous referees for some constructive comments about the first version of the paper.

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2017

Authors and Affiliations

  1. 1.Universidade da Beira InteriorCovilhãPortugal
  2. 2.CMCCUniversidade Federal do ABCSanto AndréBrazil
  3. 3.Universidade Estadual de Campinas, IMECC-UNICAMPCampinasBrazil
  4. 4.Novosibirsk State UniversityNovosibirskRussia

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