TY - JOUR

T1 - Generalized Derivations of Multiplicative n-Ary Hom- Ω Color Algebras

AU - Beites, P. D.

AU - Kaygorodov, Ivan

AU - Popov, Yury

N1 - Publisher Copyright: © 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

PY - 2019/1/15

Y1 - 2019/1/15

N2 - 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-Ω color algebras. Particularly, we prove some properties of generalized derivations of multiplicative n-ary Hom-Ω color algebras. Moreover, we prove that the quasiderivation algebra of any multiplicative n-ary Hom-Ω color algebra can be embedded into the derivation algebra of a larger multiplicative n-ary Hom-Ω color algebra.

AB - 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-Ω color algebras. Particularly, we prove some properties of generalized derivations of multiplicative n-ary Hom-Ω color algebras. Moreover, we prove that the quasiderivation algebra of any multiplicative n-ary Hom-Ω color algebra can be embedded into the derivation algebra of a larger multiplicative n-ary Hom-Ω color algebra.

KW - Color algebra

KW - Generalized derivation

KW - Hom-algebra

KW - Hom–Lie superalgebra

KW - n-ary algebra

KW - Hom-Lie superalgebra

KW - (N+1)-ARY DERIVATIONS

KW - SUPERALGEBRAS

KW - FINITE-DIMENSIONAL JORDAN

KW - SUPERDERIVATIONS

KW - DELTA-DERIVATIONS

UR - http://www.scopus.com/inward/record.url?scp=85052520823&partnerID=8YFLogxK

U2 - 10.1007/s40840-017-0486-8

DO - 10.1007/s40840-017-0486-8

M3 - Article

AN - SCOPUS:85052520823

VL - 42

SP - 315

EP - 335

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 1

ER -