Generalized Derivations of Multiplicative n-Ary Hom- Color Algebras

Author(s)

Beites, P. D. ^[1] ; Kaygorodov, Ivan ^[2] ; Popov, Yury ^{[3, 4]}

Affiliation

^[1] Univ Beira Interior, Covilha - Portugal

^[2] Univ Fed ABC, CMCC, Santo Andre - Brazil

^[3] Novosibirsk State Univ, Novosibirsk - Russia

^[4] Univ Estadual Campinas, IMECC UNICAMP, Campinas, SP - Brazil

• Document type: Journal article
• Source: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY; v. 42, n. 1, p. 315-335, JAN 2019.
• Web of Science Citations: 4

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

• FAPESP's process: 16/16445-0 - Representations of (super)algebras of Jordan type
• Grantee: Yury Popov
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 14/24519-8 - Generalized derivations of non associative algebras and superalgebras
• Grantee: Ivan Kaygorodov
• Support Opportunities: Regular Research Grants