Jacobi-Jordan algebras

DOI10.1016/j.laa.2014.07.034zbMath1385.17013arXiv1404.5435OpenAlexW2090265871MaRDI QIDQ401217

Alice Fialowski, Dietrich Burde

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1404.5435

zbMATH Keywords

Jacobi identityJordan algebracommutative nilalgebra

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Finite-dimensional structures of Jordan algebras (17C55)

Related Items (13)

Algebraic constructions for Jacobi-Jordan algebras ⋮ Curvilinear integral theorems for monogenic functions in commutative associative algebras ⋮ Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\) ⋮ On power-associative modules ⋮ On cohomology and deformations of Jacobi-Jordan algebras ⋮ Differential mock-Lie bialgebras and admissible mock-Lie Yang-Baxter equations ⋮ Extensions, crossed modules and pseudo quadratic Lie type superalgebras ⋮ The variety of dual mock-Lie algebras ⋮ Special and exceptional mock-Lie algebras ⋮ On Bernstein algebras satisfying chain conditions II ⋮ On a type of commutative algebras ⋮ On Jordan-Nilalgebras of Index 3 ⋮ Symplectic Jacobi-Jordan algebras

Cites Work

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• Novikov structures on solvable Lie algebras
• Contractions of Low-Dimensional Nilpotent Jordan Algebras
• LR-algebras
• The Moduli Space of 3-Dimensional Associative Algebras
• On Commutative Power-Associative Nilalgebras of Low Dimension
• Low Dimensional Bernstein-Jordan Algebras
• JORDAN NILALGEBRAS OF NILINDEXNAND DIMENSIONN+1

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