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Generalized Derivations of Multiplicative n-Ary Hom- Ω Color Algebras. / Beites, P. D.; Kaygorodov, Ivan; Popov, Yury.

в: Bulletin of the Malaysian Mathematical Sciences Society, Том 42, № 1, 15.01.2019, стр. 315-335.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Beites, PD, Kaygorodov, I & Popov, Y 2019, 'Generalized Derivations of Multiplicative n-Ary Hom- Ω Color Algebras', Bulletin of the Malaysian Mathematical Sciences Society, Том. 42, № 1, стр. 315-335. https://doi.org/10.1007/s40840-017-0486-8

APA

Beites, P. D., Kaygorodov, I., & Popov, Y. (2019). Generalized Derivations of Multiplicative n-Ary Hom- Ω Color Algebras. Bulletin of the Malaysian Mathematical Sciences Society, 42(1), 315-335. https://doi.org/10.1007/s40840-017-0486-8

Vancouver

Beites PD, Kaygorodov I, Popov Y. Generalized Derivations of Multiplicative n-Ary Hom- Ω Color Algebras. Bulletin of the Malaysian Mathematical Sciences Society. 2019 янв. 15;42(1):315-335. doi: 10.1007/s40840-017-0486-8

Author

Beites, P. D. ; Kaygorodov, Ivan ; Popov, Yury. / Generalized Derivations of Multiplicative n-Ary Hom- Ω Color Algebras. в: Bulletin of the Malaysian Mathematical Sciences Society. 2019 ; Том 42, № 1. стр. 315-335.

BibTeX

@article{6fc15206ea4240d8b99cd13696456720,
title = "Generalized Derivations of Multiplicative n-Ary Hom- Ω Color Algebras",
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-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.",
keywords = "Color algebra, Generalized derivation, Hom-algebra, Hom–Lie superalgebra, n-ary algebra, Hom-Lie superalgebra, (N+1)-ARY DERIVATIONS, SUPERALGEBRAS, FINITE-DIMENSIONAL JORDAN, SUPERDERIVATIONS, DELTA-DERIVATIONS",
author = "Beites, {P. D.} and Ivan Kaygorodov and Yury Popov",
note = "Publisher Copyright: {\textcopyright} 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",
year = "2019",
month = jan,
day = "15",
doi = "10.1007/s40840-017-0486-8",
language = "English",
volume = "42",
pages = "315--335",
journal = "Bulletin of the Malaysian Mathematical Sciences Society",
issn = "0126-6705",
publisher = "Springer Singapore",
number = "1",

}

RIS

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 -

ID: 18118731