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

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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.

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Acknowledgements

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

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Authors and Affiliations

  1. Universidade da Beira Interior, Covilhã, Portugal

    P. D. Beites

  2. CMCC, Universidade Federal do ABC, Santo André, Brazil

    Ivan Kaygorodov

  3. Universidade Estadual de Campinas, IMECC-UNICAMP, Campinas, Brazil

    Yury Popov

  4. Novosibirsk State University, Novosibirsk, Russia

    Yury Popov

Authors
  1. P. D. Beites
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  2. Ivan Kaygorodov
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  3. Yury Popov
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Corresponding author

Correspondence to Ivan Kaygorodov.

Additional information

Shiping Liu.

The authors were supported by Fundação para a Ciência e a Tecnologia (Portugal), project PEst-OE/MAT/UI0212/2015 of CMA-UBI; Ministerio de Economía y Competitividad (Spain), project MTM2013-45588-C3-1-P; the Presidents Programme Support of Young Russian Scientists (Grant MK-1378.2017.1); FAPESP 14/24519-8, 16/16445-0; RFBR 16-31-00096.

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Beites, P.D., Kaygorodov, I. & Popov, Y. Generalized Derivations of Multiplicative n-Ary Hom-\(\Omega \) Color Algebras. Bull. Malays. Math. Sci. Soc. 42, 315–335 (2019). https://doi.org/10.1007/s40840-017-0486-8

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  • DOI: https://doi.org/10.1007/s40840-017-0486-8

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