Arbitrary algebras with a multiplicative basis

DOI10.1016/j.laa.2015.01.021zbMath1381.17004OpenAlexW1980283267MaRDI QIDQ269262

Francisco J. Navarro Izquierdo, Antonio Jesús Calderón Martín

Publication date: 18 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.01.021

zbMATH Keywords

associative algebranon-associative algebrastructure theoryinfinite dimensional algebramultiplicative basis

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Related Items (12)

Fine decompositions of algebraic systems induced by bases ⋮ Bilinear maps and graphs ⋮ Leibniz algebras and graphs ⋮ n-Algebras admitting a multiplicative basis ⋮ Poisson Algebras and Graphs ⋮ Non-commutative Poisson Algebras Admitting a Multiplicative Basis ⋮ 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 ⋮ Regular Hom-algebras admitting a multiplicative basis ⋮ Leibniz triple systems admitting a multiplicative basis ⋮ On split regular BiHom-Poisson color algebras

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