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

Standard

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

In: Bulletin of the Malaysian Mathematical Sciences Society, Vol. 42, No. 1, 15.01.2019, p. 315-335.

Research output: Contribution to journal › Article › peer-review

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, vol. 42, no. 1, pp. 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 Jan 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. In: Bulletin of the Malaysian Mathematical Sciences Society. 2019 ; Vol. 42, No. 1. pp. 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

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