Imbedding Jordan systems in primitive systems

DOI10.1016/j.jalgebra.2015.10.023zbMath1385.17012OpenAlexW2217485672MaRDI QIDQ907337

Kevin McCrimmon, Teresa Cortés, José Angel Anquela

Publication date: 25 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.10.023

zbMATH Keywords

hearttriple systemalgebraassociative systemprimitivesimplepairexceptional strongly primespectral Jordan system

Mathematics Subject Classification ID

Exceptional Jordan structures (17C40) Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20)

Related Items (2)

Commuting \(U\)-operators and nondegenerate imbeddings of Jordan systems ⋮ Prime quotients of Jordan systems and Lie algebras

Cites Work

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• Prime Jordan triple systems
• Prime Jordan algebras. II
• On nilpotent elements of a free Jordan algebra
• The structure of strongly prime quadratic Jordan algebras
• Prime Jordan algebras
• Maximal modular inner ideals and the Jacobson radical of a Jordan algebra
• Jordan pairs
• Primitivity in Jordan systems is ubiquitous
• A taste of Jordan algebras
• Simplicity of the heart of a nondegenerate Jordan system
• Jordan cubes and associative powers.
• The structure of primitive quadratic Jordan algebras
• Primitive Jordan pairs and triple systems
• On Herstein's theorems relating Jordan and associative algebras
• Imbedding Lie Algebras in Strongly Prime Algebras
• Imbedding Nondegenerate Jordan Algebras in Semiprimitive Algebras
• GROWING HEARTS IN ASSOCIATIVE SYSTEMS
• Herstein's theorems and simplicity of Hermitian Jordan systems.

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