Algebraic constructions for Jacobi-Jordan algebras

DOI10.1016/j.laa.2021.08.003zbMath1477.17094arXiv2105.14722OpenAlexW3190633566MaRDI QIDQ821000

Gigel Militaru, Ana-Loredana Agore

Publication date: 29 September 2021

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

Full work available at URL: https://arxiv.org/abs/2105.14722

zbMATH Keywords

bicrossed productsmatched pairsunified productsJacobi-Jordan algebras

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Finite-dimensional structures of Jordan algebras (17C55) General theory of nonassociative rings and algebras (17A01)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobi-Jordan algebras
• Special and exceptional mock-Lie algebras
• Extending structures. II: The quantum version.
• On a type of commutative algebras
• Special Jordan nil algebras of bounded index
• Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
• Bernstein algebras
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Jordan-Lie super algebra and Jordan-Lie triple system
• The variety of dual mock-Lie algebras
• Extending structures for Lie algebras
• Erratum and addendum to ‘‘Central extensions of current algebras”
• On algebras of rank three
• Symplectic Jacobi-Jordan algebras
• Pseudo-Euclidean Jordan Algebras

This page was built for publication: Algebraic constructions for Jacobi-Jordan algebras