Generalized derivations of multiplicative \(n\)-ary \(\Hom\text{-}\Omega\) color algebras

DOI10.1007/s40840-017-0486-8zbMath1464.17007arXiv1609.07396OpenAlexW2525845871MaRDI QIDQ1712785

P. D. Beites, Yury Popov, I. B. Kaĭgorodov

Publication date: 31 January 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07396

zbMATH Keywords

generalized derivationHom-algebra\(n\)-ary algebracolor algebra\textit{Hom}-Lie superalgebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other (n)-ary compositions ((n ge 3)) (17A42) Hom-Lie and related algebras (17B61) (non-Lie) Hom algebras and topics (17D30)

Related Items

Yau-type ternary Hom-Lie bialgebras, Cohomology and formal deformations of \(n\)-Hom-Lie color algebras, Simply complete Hom-Lie superalgebras and decomposition of complete Hom-Lie superalgebras, \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis, Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras, Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras, \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis, \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras, Jordan \(\{g,h\}\)-derivations on triangular algebras, Split regular Hom-Leibniz color 3-algebras, Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems

Cites Work

• Unnamed Item
• Unnamed Item
• A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
• Generalized derivations of Lie triple systems
• Commentary to: ``Generalized derivations of Lie triple systems
• Generalized derivations of Lie color algebras
• Erratum to ``On \(\delta\)-derivations of Lie algebras and superalgebras
• \(\delta \)-superderivations of simple finite-dimensional Jordan and Lie superalgebras
• Classification of simple linearly compact \(n\)-Lie superalgebras
• \((n+1)\)-ary derivations of simple \(n\)-ary algebras
• Generalized derivations of Lie algebras
• Generalized derivations of Hom-Lie triple systems
• Variety of Hom-Sabinin algebras and related algebra subclasses
• \((n+1)\)-ary derivations of semisimple Filippov algebras
• \(\delta\)-superderivations of semisimple finite-dimensional Jordan superalgebras
• Generalized derivations of (color)n-ary algebras
• An Associative Triple System of the Second Kind
• On $𝛿$-superderivations of simple superalgebras of Jordan brackets
• On $(n+1)$-ary derivations of simple $n$-ary Mal′tsev algebras
• Generalized Derivations of Lie Superalgebras
• δ-Derivations of simple finite-dimensional Jordan superalgebras
• ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE A(n, n)
• Generalized Derivations of Associative Algebras
• On $ \delta$-derivations of $ n$-ary algebras
• Cohomology and deformations of 3-Lie colour algebras
• δ-derivations of classical Lie superalgebras
• δ-DERIVATIONS OF SEMISIMPLE FINITE-DIMENSIONAL STRUCTURABLE ALGEBRAS