n-Algebras admitting a multiplicative basis

DOI10.1142/S0219498818500251zbMath1431.17002OpenAlexW2588140743MaRDI QIDQ4602092

José M. Sánchez Delgado, Francisco J. Navarro Izquierdo, Antonio Jesús Calderón Martín

Publication date: 26 January 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818500251

zbMATH Keywords

structure theorymultiplicative basis\(n\)-algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Multilinear algebra, tensor calculus (15A69) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (4)

Fine decompositions of algebraic systems induced by bases ⋮ Decompositions of linear spaces induced by n-linear maps ⋮ \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis ⋮ \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis

Cites Work

• Unnamed Item
• Test for Leibniz \(n\)-algebra structure
• Arbitrary algebras with a multiplicative basis
• Filtered multiplicative bases of restricted enveloping algebras
• Leibniz and Lie algebra structures for Nambu algebra
• On multiplicative bases in quasi-Frobenius algebras
• On simple split Lie triple systems
• On split Lie triple systems
• Multiplicative bases in matrix algebras
• On split Lie algebras with symmetric root systems
• The structure of locally finite split Lie algebras
• On filtered multiplicative bases of some associative algebras.
• On integrable roots in split Lie triple systems
• Leibniz n-algebras
• Split 3-Lie algebras
• ON NILPOTENT LEIBNIZ n-ALGEBRAS
• Hilbert Space Methods in the Theory of Lie Algebras
• Lorentzian Lie n-algebras
• The twisted Heisenberg algebra Uh,w(ℋ(4))
• Cartan Subalgebras of Leibniz n-Algebras
• Some 2-step nilpotent Lie algebras. I

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